College Algebra By Openstax
17th Edition
ISBN: 9781506698229
Author: Jay Abramson;arizona State University
Publisher: XANEDU PUBLISHING
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Textbook Question
Chapter 3.3, Problem 1SE
Can the average rate of change of a
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Use grouping to fully factor: x³ + 3x² - 16x - 48 = 0
3
2
Name:
Tay Jones
Level Two
Date:
Algebra 3 Unit 3: Functions and Equations Practice Assessment
Class:
#7-OneNote
1. The function f(x) = x² is transformed in the following functions. List the vertex for each function,
circle whether the function opens up or down, and why. All three parts must be correct to receive Level 2
points. You can receive points for a, b, and c.
a) g(x) = -2(x+5)²
Vertex:
Opens Up Opens Down
Why? ais negative
-2
Vertex:
b) g(x) = (x + 2)² - 3
c) g(x) = -4(x + 2)² + 2
Opens Up
Opens Down
Vertex:
Opens Up
Opens Down
Why?
4
Ca is negative)
Why? his positive
2. The graph of the function f(x) is shown below. Find the domain, range, and end behavior. Then list the
values of x for which the function values are increasing and decreasing.
f(x)
Domain:
End Behavior:
As x → ∞o, f(x) -> -6
As x, f(x) ->
Range:
Where is it Increasing? (002]
Where is it Decreasing? (1,00)
Show what to do on the graph visually please!
Chapter 3 Solutions
College Algebra By Openstax
Ch. 3.1 - Table 2(1) lists the five greatest baseball...Ch. 3.1 - Use function notation to express the weight of a...Ch. 3.1 - Does Table 9 represent a function?Ch. 3.1 - Given the function g(m)=m4 .Evaluate g(5) .Ch. 3.1 - Given the function g(m)=m4 , solve g(m)=2 .Ch. 3.1 - If x8y3=0 , express y as a function of x.Ch. 3.1 - Using Table 11, evaluate g(1) .Ch. 3.1 - Using Figure 7, solve f(x)=1 .Ch. 3.1 - a. Is a balance a function of the bank account...Ch. 3.1 - a. If each percent grade earned in a course...
Ch. 3.1 - Does the graph in Figure 13 represent a function?Ch. 3.1 - Is the graph shown here one-to-one?Ch. 3.1 - What is the difference between a relation and a...Ch. 3.1 - What is the difference between the input and the...Ch. 3.1 - Why does the vertical line test tell as whether...Ch. 3.1 - How can you determine if a relation is a...Ch. 3.1 - Why does the horizontal line test tell us whether...Ch. 3.1 - For the following exercises, determine whether the...Ch. 3.1 - For the following exercises, determine whether the...Ch. 3.1 - For the following exercises, determine whether the...Ch. 3.1 - For the following exercises, determine whether the...Ch. 3.1 - For the following exercises, determine whether the...Ch. 3.1 - For the following exercises, determine whether the...Ch. 3.1 - For the following exercises, determine whether the...Ch. 3.1 - For the following exercises, determine whether the...Ch. 3.1 - For the following exercises, determine whether the...Ch. 3.1 - For the following exercises, determine whether the...Ch. 3.1 - 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For the following exercises, evaluate the...Ch. 3.1 - For the following exercises, evaluate the...Ch. 3.1 - For the following exercises, evaluate the...Ch. 3.1 - For the following exercises, evaluate the...Ch. 3.1 - For the following exercises, evaluate the...Ch. 3.1 - For the following exercises, evaluate the...Ch. 3.1 - For the following exercises, evaluate the...Ch. 3.1 - For the following exercises, use the vertical line...Ch. 3.1 - For the following exercises, use the vertical line...Ch. 3.1 - For the following exercises, use the vertical line...Ch. 3.1 - For the following exercises, use the vertical line...Ch. 3.1 - For the following exercises, use the vertical line...Ch. 3.1 - For the following exercises, use the vertical line...Ch. 3.1 - For the following exercises, use the vertical line...Ch. 3.1 - For the following exercises, use the vertical line...Ch. 3.1 - For the following exercises, use the vertical line...Ch. 3.1 - For the following exercises, use the vertical line...Ch. 3.1 - For the following exercises, use the vertical line...Ch. 3.1 - For the following exercises, use the vertical line...Ch. 3.1 - For the following exercises, use the vertical line...Ch. 3.1 - For the following exercises, use the vertical line...Ch. 3.1 - For the following exercises, use the vertical line...Ch. 3.1 - For the following exercises, determine if the...Ch. 3.1 - For the following exercises, determine if the...Ch. 3.1 - For the following exercises, determine if the...Ch. 3.1 - For the following exercises, determine if the...Ch. 3.1 - For the following exercises, determine if the...Ch. 3.1 - For the following exercises, determine if the...Ch. 3.1 - For the following exercises, determine whether the...Ch. 3.1 - For the following exercises, determine whether the...Ch. 3.1 - For the following exercises, determine if the...Ch. 3.1 - For the following exercises, determine if the...Ch. 3.1 - For the following exercises, determine if the...Ch. 3.1 - For the following exercises, use the function f...Ch. 3.1 - For the following exercises, use the function f...Ch. 3.1 - For the following exercises, evaluate the function...Ch. 3.1 - For the following exercises, evaluate the function...Ch. 3.1 - For the following exercises, evaluate the function...Ch. 3.1 - For the following exercises, evaluate the function...Ch. 3.1 - For the following exercises, evaluate the function...Ch. 3.1 - For the following exercises, evaluate the function...Ch. 3.1 - For the following exercises, evaluate the...Ch. 3.1 - For the following exercises, evaluate the...Ch. 3.1 - For the following exercises, graph y=x2 on the...Ch. 3.1 - For the following exercises, graph y=x2 on the...Ch. 3.1 - For the following exercises, graph y=x2 on the...Ch. 3.1 - For the following exercises, graph y=x3 on the...Ch. 3.1 - For the following exercises, graph y=x3 on the...Ch. 3.1 - For the following exercises, graph y=x3 on the...Ch. 3.1 - For the following exercises, graph y=x on the...Ch. 3.1 - For the following exercises, graph y=x on the...Ch. 3.1 - For the following exercises, graph y=x on the...Ch. 3.1 - For the following exercises, graph y=x3 on the...Ch. 3.1 - For the following exercises, graph y=x3 on the...Ch. 3.1 - For the following exercises, graph y=x3 on the...Ch. 3.1 - The amount of garbage, G, produced by a city with...Ch. 3.1 - The number of cubic yards of dirt, D, needed to...Ch. 3.1 - Let f(t) be the number of ducks in a lake t years...Ch. 3.1 - Let h(t) be the height above ground, in feet, of a...Ch. 3.1 - Show that the function f(x)=3(x5)2+7 is not...Ch. 3.2 - Find the domain of the function:...Ch. 3.2 - Find the domain of the function: f(x)=5x+x3 .Ch. 3.2 - Find the domain of the function: f(x)=1+4x2x1 .Ch. 3.2 - Find the domain of the function f(x)=5+2x .Ch. 3.2 - Given this figure, specify the graphed set in a....Ch. 3.2 - Given Figure 12, identify the domain and range...Ch. 3.2 - Find the domain and range of f(x)=2x .Ch. 3.2 - Graph the following piecewise function....Ch. 3.2 - Why does the domain differ for different...Ch. 3.2 - How do we determine the domain of a function...Ch. 3.2 - Explain why the domain of f(x)=x3 is different...Ch. 3.2 - When describing sets of numbers using interval...Ch. 3.2 - How do you graph a piecewise function?Ch. 3.2 - For the following exercises, find the domain of...Ch. 3.2 - For the following exercises, find the domain of...Ch. 3.2 - For the following exercises, find the domain of...Ch. 3.2 - For the following exercises, find the domain of...Ch. 3.2 - For the following exercises, find the domain of...Ch. 3.2 - For the following exercises, find the domain of...Ch. 3.2 - For the following exercises, find the domain of...Ch. 3.2 - For the following exercises, find the domain of...Ch. 3.2 - For the following exercises, find the domain of...Ch. 3.2 - For the following exercises, find the domain of...Ch. 3.2 - For the following exercises, find the domain of...Ch. 3.2 - For the following exercises, find the domain of...Ch. 3.2 - For the following exercises, find the domain of...Ch. 3.2 - 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For the following exercises, write the domain and...Ch. 3.2 - For the following exercises, write the domain and...Ch. 3.2 - For the following exercises, sketch a graph of the...Ch. 3.2 - For the following exercises, sketch a graph of the...Ch. 3.2 - For the following exercises, sketch a graph of the...Ch. 3.2 - For the following exercises, sketch a graph of the...Ch. 3.2 - For the following exercises, sketch a graph of the...Ch. 3.2 - For the following exercises, sketch a graph of the...Ch. 3.2 - For the following exercises, sketch a graph of the...Ch. 3.2 - For the following exercises, sketch a graph of the...Ch. 3.2 - For the following exercises, given each function...Ch. 3.2 - For the following exercises, given each function...Ch. 3.2 - For the following exercises, given each function...Ch. 3.2 - For the following exercises, given each function...Ch. 3.2 - For the following exercises, given each function...Ch. 3.2 - For the following exercises, given each function...Ch. 3.2 - For the following exercises, write the domain for...Ch. 3.2 - For the following exercises, write the domain for...Ch. 3.2 - For the following exercises, write the domain for...Ch. 3.2 - Graph y=1x2 on the viewing window...Ch. 3.2 - Graph y=1x on the viewing window...Ch. 3.2 - Suppose the range of a function fis [5,8] . What...Ch. 3.2 - Create a function in which the range is all...Ch. 3.2 - Create a function in which the domain is x2 .Ch. 3.2 - The height h of a projectile is a function of the...Ch. 3.2 - The cost in dollars of making x items is given by...Ch. 3.3 - Using the data in Table 1 at the beginning of this...Ch. 3.3 - Find the average rate of change of f(x)=x2x on the...Ch. 3.3 - Find the average rate of change of f(x)=x2+2x8 on...Ch. 3.3 - Graph the function f(x)=x36x215x+20 to estimate...Ch. 3.3 - Can the average rate of change of a function be...Ch. 3.3 - If a functionfis increasing on (a,b) and...Ch. 3.3 - How are the absolute maximum and minimum similar...Ch. 3.3 - How does the graph of the absolute value function...Ch. 3.3 - For the following exercises, find the average rate...Ch. 3.3 - For the following exercises, find the average rate...Ch. 3.3 - For the following exercises, find the average rate...Ch. 3.3 - For the following exercises, find the average rate...Ch. 3.3 - For the following exercises, find the average rate...Ch. 3.3 - For the following exercises, find the average rate...Ch. 3.3 - For the following exercises, find the average rate...Ch. 3.3 - For the following exercises, find the average rate...Ch. 3.3 - For the following exercises, find the average rate...Ch. 3.3 - For the following exercises, find the average rate...Ch. 3.3 - For the following exercises, find the average rate...Ch. 3.3 - For the following exercises, consider the graph of...Ch. 3.3 - For the following exercises, consider the graph of...Ch. 3.3 - For the following exercises, use the graph of each...Ch. 3.3 - For the following exercises, use the graph of each...Ch. 3.3 - For the following exercises, use the graph of each...Ch. 3.3 - For the following exercises, use the graph of each...Ch. 3.3 - For the following exercises, consider the graph...Ch. 3.3 - For the following exercises, consider the graph...Ch. 3.3 - For the following exercises, consider the graph in...Ch. 3.3 - For the following exercises, consider the graph in...Ch. 3.3 - Table 3 gives the annual sales (in millions of...Ch. 3.3 - Table 4 gives the population of a town (in...Ch. 3.3 - For the following exercises, find the average rate...Ch. 3.3 - xFor the following exercises, find the average...Ch. 3.3 - For the following exercises, find the average rate...Ch. 3.3 - For the following exercises, find the average rate...Ch. 3.3 - For the following exercises, find the average rate...Ch. 3.3 - For the following exercises, find the average rate...Ch. 3.3 - For the following exercises, find the average rate...Ch. 3.3 - For the following exercises, use a graphing...Ch. 3.3 - For the following exercises, use a graphing...Ch. 3.3 - For the following exercises, use a graphing...Ch. 3.3 - For the following exercises, use a graphing...Ch. 3.3 - For the following exercises, use a graphing...Ch. 3.3 - For the following exercises, use a graphing...Ch. 3.3 - The graph of the functionfis shown in Figure 18....Ch. 3.3 - Let f(x)=1x . Find a number c such that the...Ch. 3.3 - Let f(x)=1x . Find the number b such that the...Ch. 3.3 - At the start of a trip, the odometer on a car read...Ch. 3.3 - A driver of a car stopped at a gas station to fill...Ch. 3.3 - Near the surface of the moon, the distance that an...Ch. 3.3 - The graph in Figure 19 illustrates the decay of a...Ch. 3.4 - Find and simplify the functions (fg)(x) and...Ch. 3.4 - The gravitational force on a planet a distance r...Ch. 3.4 - Using Table 1, evaluate f(g(1))andg(f(4)) .Ch. 3.4 - Using Figure 1, evaluate g(f(2)) .Ch. 3.4 - Given f(t)=t2tandh(x)=3x+2 , evaluate a.h(f(2))...Ch. 3.4 - Find the domain of (fg)(x) where f(x)=1x2 and...Ch. 3.4 - Write f(x)=434+x2 as the composition of two...Ch. 3.4 - How does one find the domain of the quotient of...Ch. 3.4 - What is the composition of two functions, fg ?Ch. 3.4 - If the order is reversed when composing two...Ch. 3.4 - How do you find the domain for the composition of...Ch. 3.4 - For the following exercises, determine the domain...Ch. 3.4 - For the following exercises, determine the domain...Ch. 3.4 - For the following exercises, determine the domain...Ch. 3.4 - For the following exercises, determine the domain...Ch. 3.4 - For the following exercises, determine the domain...Ch. 3.4 - For the following exercises, determine the domain...Ch. 3.4 - For the following exercises, determine the domain...Ch. 3.4 - For the following exercises, use each pair of...Ch. 3.4 - For the following exercises, use each pair of...Ch. 3.4 - For the following exercises, use each pair of...Ch. 3.4 - For the following exercises, use each pair of...Ch. 3.4 - For the following exercises, use each pair of...Ch. 3.4 - For the following exercises, use each pair of...Ch. 3.4 - For the following exercises, use each pair of...Ch. 3.4 - For the following exercises, use each pair of...Ch. 3.4 - For the following exercises, use each set of...Ch. 3.4 - For the following exercises, use each set of...Ch. 3.4 - For the following exercises, use each set of...Ch. 3.4 - For the following exercises, use each set of...Ch. 3.4 - For the following exercises, use each set of...Ch. 3.4 - For the following exercises, use each set of...Ch. 3.4 - For the following exercises, find functions...Ch. 3.4 - For the following exercises, find functions...Ch. 3.4 - For the following exercises, find functions...Ch. 3.4 - For the following exercises, find functions...Ch. 3.4 - For the following exercises, find functions...Ch. 3.4 - For the following exercises, find functions...Ch. 3.4 - For the following exercises, find functions...Ch. 3.4 - For the following exercises, find functions...Ch. 3.4 - For the following exercises, find functions...Ch. 3.4 - For the following exercises, find functions...Ch. 3.4 - For the following exercises, find functions...Ch. 3.4 - For the following exercises, find functions...Ch. 3.4 - For the following exercises, find functions...Ch. 3.4 - For the following exercises, find functions...Ch. 3.4 - For the following exercises, find functions...Ch. 3.4 - For the following exercises, find functions...Ch. 3.4 - For the following exercises, use the graph of f,...Ch. 3.4 - For the following exercises, use the graph of f,...Ch. 3.4 - For the following exercises, use the graph of f,...Ch. 3.4 - For the following exercises, use the graph of f,...Ch. 3.4 - For the following exercises, use the graph of f,...Ch. 3.4 - For the following exercises, use the graph of f,...Ch. 3.4 - For the following exercises, use the graph of f,...Ch. 3.4 - For the following exercises, use the graph of f,...Ch. 3.4 - For the following exercises, use the graph of...Ch. 3.4 - For the following exercises, use the graph of...Ch. 3.4 - For the following exercises, use the graph of...Ch. 3.4 - For the following exercises, use the graph of...Ch. 3.4 - For the following exercises, use the graph of...Ch. 3.4 - For the following exercises, use the graph of...Ch. 3.4 - For the following exercises, use the graph of...Ch. 3.4 - For the following exercises, use the graph of...Ch. 3.4 - For the following exercises, use the function...Ch. 3.4 - For the following exercises, use the function...Ch. 3.4 - For the following exercises, use the function...Ch. 3.4 - For the following exercises, use the function...Ch. 3.4 - For the following exercises, use the function...Ch. 3.4 - For the following exercises, use the function...Ch. 3.4 - For the following exercises, use the function...Ch. 3.4 - For the following exercises, use the function...Ch. 3.4 - For the following exercises, use the function...Ch. 3.4 - For the following exercises, use the function...Ch. 3.4 - For the following exercises, use the function...Ch. 3.4 - For the following exercises, use the function...Ch. 3.4 - For the following exercises, use the function...Ch. 3.4 - For the following exercises, use the function...Ch. 3.4 - For the following exercises, use each pair of...Ch. 3.4 - For the following exercises, use each pair of...Ch. 3.4 - For the following exercises, use each pair of...Ch. 3.4 - For the following exercises, use each pair of...Ch. 3.4 - For the following exercises, use the functions...Ch. 3.4 - For the following exercises, use the functions...Ch. 3.4 - For the following exercises, use the functions...Ch. 3.4 - For the following exercises, use the functions...Ch. 3.4 - For the following exercises, use f(x)=x3+1 and...Ch. 3.4 - For the following exercises, use f(x)=x3+1 and...Ch. 3.4 - For the following exercises, use f(x)=x3+1 and...Ch. 3.4 - For the following exercises, use f(x)=x3+1 and...Ch. 3.4 - For the following exercises, use f(x)=x3+1 and...Ch. 3.4 - For the following exercises, let...Ch. 3.4 - For the following exercises, let...Ch. 3.4 - For the following exercises, Find the composition...Ch. 3.4 - For the following exercises, Find the composition...Ch. 3.4 - For the following exercises, Find the composition...Ch. 3.4 - The function D(p) gives the number of items that...Ch. 3.4 - The function A(d) gives the pain level on a scale...Ch. 3.4 - A store offers customers a 30% discount on the...Ch. 3.4 - A rain drop hitting a lake makes a circular...Ch. 3.4 - A forest fire leaves behind an area of grass...Ch. 3.4 - Use the function you found in the previous...Ch. 3.4 - The radius r, in inches, of a spherical balloon...Ch. 3.4 - The number of bacteria in a refrigerated food...Ch. 3.5 - The function h(t)=4.9t2+30t gives the height h of...Ch. 3.5 - Given the function f(x)=x , graph the original...Ch. 3.5 - Given f(x)=|x| , sketch a graph of h(x)=f(x-2)+4 .Ch. 3.5 - Write a formula for a transformation of the...Ch. 3.5 - Reflect the graph of f(x)=|x1| a. vertically and...Ch. 3.5 - A function f(x) is given as Table 9. Create a...Ch. 3.5 - Given the toolkit function f(x)=x2 , graph...Ch. 3.5 - Is the function f(s)=s4+3s2+7 even, odd, or...Ch. 3.5 - A function f is given as Table 12. Create a table...Ch. 3.5 - Write the formula for the function that we get...Ch. 3.5 - Write a formula for the toolkit square root...Ch. 3.5 - When examining the formula of a function that is...Ch. 3.5 - When examining the formula of a function that is...Ch. 3.5 - When examining the formula of a function that is...Ch. 3.5 - When examining the formula of a function that is...Ch. 3.5 - How can you determine whether a function is odd or...Ch. 3.5 - For the following exercises, write a formula for...Ch. 3.5 - For the following exercises, write a formula for...Ch. 3.5 - For the following exercises, write a formula for...Ch. 3.5 - For the following exercises, write a formula for...Ch. 3.5 - For the following exercises, describe how the...Ch. 3.5 - For the following exercises, describe how the...Ch. 3.5 - For the following exercises, describe how the...Ch. 3.5 - For the following exercises, describe how the...Ch. 3.5 - For the following exercises, describe how the...Ch. 3.5 - For the following exercises, describe how the...Ch. 3.5 - 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For the following exercises, write an equation for...Ch. 3.5 - For the following exercises, write an equation for...Ch. 3.5 - For the following exercises, write an equation for...Ch. 3.5 - For the following exercises, write an equation for...Ch. 3.5 - For the following exercises, write an equation for...Ch. 3.5 - For the following exercises, write an equation for...Ch. 3.5 - For the following exercises, write an equation for...Ch. 3.5 - For the following exercises, write an equation for...Ch. 3.5 - For the following exercises, use the graphs of...Ch. 3.5 - For the following exercises, use the graphs of...Ch. 3.5 - Y1yg For the following exercises, use the graphs...Ch. 3.5 - For the following exercises, use the graphs of the...Ch. 3.5 - For the following exercises, use the graphs of the...Ch. 3.5 - For the following exercises, use the graphs of the...Ch. 3.5 - For the following exercises, determine whether the...Ch. 3.5 - For the following exercises, determine whether the...Ch. 3.5 - For the following exercises, determine whether the...Ch. 3.5 - 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For the function f(x)=|2x1|-3 , find the values of...Ch. 3.6 - How do you solve an absolute value equation?Ch. 3.6 - How can you tell whether an absolute value...Ch. 3.6 - When solving an absolute value function, the...Ch. 3.6 - How can you use the graph of an absolute value...Ch. 3.6 - Describe all numbers x that are at a distance of 4...Ch. 3.6 - Describe all numbers x that are at a distance of...Ch. 3.6 - Describe the situation in which the distance that...Ch. 3.6 - Find all function values f(x) such that the...Ch. 3.6 - For the fallowing exercises, find the x- and...Ch. 3.6 - For the fallowing exercises, find the x- and...Ch. 3.6 - For the fallowing exercises, find the x- and...Ch. 3.6 - For the fallowing exercises, find the x- and...Ch. 3.6 - For the fallowing exercises, find the x- and...Ch. 3.6 - For the fallowing exercises, find the x- and...Ch. 3.6 - For the fallowing exercises, find the x- and...Ch. 3.6 - For the following exercises, graph the absolute...Ch. 3.6 - For the following exercises, graph the absolute...Ch. 3.6 - For the following exercises, graph the absolute...Ch. 3.6 - For the following exercises, graph the given...Ch. 3.6 - For the following exercises, graph the given...Ch. 3.6 - For the following exercises, graph the given...Ch. 3.6 - For the following exercises, graph the given...Ch. 3.6 - For the following exercises, graph the given...Ch. 3.6 - For the following exercises, graph the given...Ch. 3.6 - For the following exercises, graph the given...Ch. 3.6 - For the following exercises, graph the given...Ch. 3.6 - For the following exercises, graph the given...Ch. 3.6 - For the following exercises, graph the given...Ch. 3.6 - For the following exercises, graph the given...Ch. 3.6 - For the following exercises, graph the given...Ch. 3.6 - For the following exercises, graph the given...Ch. 3.6 - Use a graphing utility to graph f(x)=10|x-|2 on...Ch. 3.6 - Use a graphing utility to graph f(x)=100|x|+100 on...Ch. 3.6 - For the following exercises, graph each function...Ch. 3.6 - For the following exercises, graph each function...Ch. 3.6 - For the following exercises, solve the inequality....Ch. 3.6 - For the following exercises, solve the inequality....Ch. 3.6 - Cities A and B are on the same east-west line....Ch. 3.6 - The true proportion p of people who give a...Ch. 3.6 - Students who score within 18 points of the number...Ch. 3.6 - A machinist must produce a bearing that is within...Ch. 3.6 - The tolerance for a ball bearing is 0.01. If the...Ch. 3.7 - Given that h1(6)=2 , what are the corresponding...Ch. 3.7 - If f(x)=x34 and g(x)=x43 , is g=f1?Ch. 3.7 - If f(x)=(x1)3 and g(x)=x3+1 , is g=f1 ?Ch. 3.7 - The domain of function f is (1,) and the range of...Ch. 3.7 - Using Table 4, find and interpret a. f(60) , and...Ch. 3.7 - Using the graph in Figure 6, a. find g1(1) , and...Ch. 3.7 - Solve for x in terms of y given y=13(x5)Ch. 3.7 - What is the inverse of the function f(x)=2x ?...Ch. 3.7 - Draw graphs of the functions fandf1 from Example...Ch. 3.7 - Describe why the horizontal line test is an...Ch. 3.7 - Why do we restrict the domain of the function...Ch. 3.7 - Can a function be its own inverse? Explain.Ch. 3.7 - Are one-to-one functions either always increasing...Ch. 3.7 - How do you find the inverse of a function...Ch. 3.7 - Show that the function fx)=ax is its own inverse...Ch. 3.7 - For the following exercises, find f1(x) for each...Ch. 3.7 - For the following exercises, find f1(x) for each...Ch. 3.7 - For the following exercises, find f1(x) for each...Ch. 3.7 - For the following exercises, find f1(x) for each...Ch. 3.7 - For the following exercises, find f1(x) for each...Ch. 3.7 - For the following exercises, find f1(x) for each...Ch. 3.7 - For the following exercises, find a domain on...Ch. 3.7 - For the following exercises, find a domain on...Ch. 3.7 - For the following exercises, find a domain on...Ch. 3.7 - For the following exercises, find a domain on...Ch. 3.7 - For the following exercises, use function...Ch. 3.7 - For the following exercises, use function...Ch. 3.7 - For the following exercises, use a graphing...Ch. 3.7 - For the following exercises, use a graphing...Ch. 3.7 - For the following exercises, use a graphing...Ch. 3.7 - For the following exercises, use a graphing...Ch. 3.7 - For the following exercises, determine whether the...Ch. 3.7 - For the following exercises, determine whether the...Ch. 3.7 - For the following exercises, use the graph of f...Ch. 3.7 - For the following exercises, use the graph...Ch. 3.7 - For the following exercises, use the graph of f...Ch. 3.7 - For the following exercises, use the graph of f...Ch. 3.7 - For the following exercises, use the graph of the...Ch. 3.7 - For the following exercises, use the graph of the...Ch. 3.7 - For the following exercises, use the graph of the...Ch. 3.7 - For the following exercises, use the graph of the...Ch. 3.7 - For the following exercises, evaluate or solve,...Ch. 3.7 - For the following exercises, evaluate or solve,...Ch. 3.7 - For the following exercises, evaluate or solve,...Ch. 3.7 - For the following exercises, evaluate or solve,...Ch. 3.7 - For the following exercises, use the values listed...Ch. 3.7 - For the following exercises, use the values listed...Ch. 3.7 - For the following exercises, use the values listed...Ch. 3.7 - For the following exercises, use the values listed...Ch. 3.7 - Use the tabular representation of f in Table 7 to...Ch. 3.7 - For the following exercises, find the inverse...Ch. 3.7 - For the following exercises, find the inverse...Ch. 3.7 - For the following exercises, find the inverse...Ch. 3.7 - To convert from x degrees Celsius toy degrees...Ch. 3.7 - The circumference C of a circle is a function of...Ch. 3.7 - A car travels at a constant speed of 50 miles per...Ch. 3 - For the following exercises, determine whether the...Ch. 3 - For the following exercises, determine whether the...Ch. 3 - For the following exercises, determine whether the...Ch. 3 - For the following exercises, determine whether the...Ch. 3 - For the following exercises, evaluate the function...Ch. 3 - For the following exercises, evaluate the function...Ch. 3 - For the following exercises, determine whether...Ch. 3 - For the following exercises, determine whether...Ch. 3 - For the following exercises, use the vertical line...Ch. 3 - For the following exercises, use the vertical line...Ch. 3 - For the following exercises, use the vertical line...Ch. 3 - For the following exercises, graph the functions....Ch. 3 - For the following exercises, graph the functions....Ch. 3 - For the following exercises, use Figure 2 to...Ch. 3 - For the following exercises, use Figure 2 to...Ch. 3 - For the following exercises, use Figure 2 to...Ch. 3 - For the following exercises, use Figure 2 to...Ch. 3 - For the following exercises, use the function...Ch. 3 - For the following exercises, use the function...Ch. 3 - For the following exercises, find the domain of...Ch. 3 - For the following exercises, find the domain of...Ch. 3 - For the following exercises, find the domain of...Ch. 3 - For the following exercises, find the domain of...Ch. 3 - For the following exercises, find the average rate...Ch. 3 - For the following exercises, find the average rate...Ch. 3 - For the following exercises, find the average rate...Ch. 3 - For the following exercises, use the graphs to...Ch. 3 - For the following exercises, use the graphs to...Ch. 3 - For the following exercises, use the graphs to...Ch. 3 - For the following exercises, use the graphs to...Ch. 3 - For the following exercises, use the graphs to...Ch. 3 - For the graph in Figure 3, the domain of the...Ch. 3 - Find the absolute maximum of the function graphed...Ch. 3 - For the following exercises, find (fg)(x) and...Ch. 3 - For the following exercises, find (fg)(x) and...Ch. 3 - For the following exercises, find (fg)(x) and...Ch. 3 - For the following exercises, find (fg)(x) and...Ch. 3 - For the following exercises, find (fg)(x) and...Ch. 3 - For the following exercises, find (fg) and the...Ch. 3 - For the following exercises, find (fg) and the...Ch. 3 - For the following exercises, find (fg) and the...Ch. 3 - For the following exercises, find (fg) and the...Ch. 3 - For the following exercises, express each function...Ch. 3 - For the following exercises, express each function...Ch. 3 - For the following exercises, sketch a graph of the...Ch. 3 - For the following exercises, sketch a graph of the...Ch. 3 - For the following exercises, sketch a graph of the...Ch. 3 - For the following exercises, sketch a graph of the...Ch. 3 - For the following exercises, sketch a graph of the...Ch. 3 - For the following exercises, sketch a graph of the...Ch. 3 - For the following exercises, sketch a graph of the...Ch. 3 - For the following exercises, sketch a graph of the...Ch. 3 - For the following exercises, sketch the graph of...Ch. 3 - For the following exercises, sketch the graph of...Ch. 3 - For the following exercises, write the equation...Ch. 3 - For the following exercises, write the equation...Ch. 3 - For the following exercises, determine whether...Ch. 3 - For the following exercises, determine whether...Ch. 3 - For the following exercises, determine whether...Ch. 3 - For the following exercises, analyze the graph and...Ch. 3 - For the following exercises, analyze the graph and...Ch. 3 - For the following exercises, analyze the graph and...Ch. 3 - For the following exercises, write ail equation...Ch. 3 - For the following exercises, write ail equation...Ch. 3 - For the following exercises, write ail equation...Ch. 3 - For the following exercises, graph the absolute...Ch. 3 - For the following exercises, graph the absolute...Ch. 3 - For the following exercises, graph the absolute...Ch. 3 - For the following exercises, find f1(x) for each...Ch. 3 - For the following exercises, find f1(x) for each...Ch. 3 - For the following exercise, find a domain on which...Ch. 3 - For the following exercise, find a domain on which...Ch. 3 - For the following exercises, use a graphing...Ch. 3 - For the following exercises, use a graphing...Ch. 3 - For the following exercises, use a graphing...Ch. 3 - For the following exercises, use a graphing...Ch. 3 - For the following exercises, determine whether...Ch. 3 - For the following exercises, determine whether...Ch. 3 - For the following exercises, evaluate the function...Ch. 3 - For the following exercises, evaluate the function...Ch. 3 - For the following exercises, evaluate the function...Ch. 3 - For the following exercises, evaluate the function...Ch. 3 - For the following exercises, evaluate the function...Ch. 3 - For the following exercises, evaluate the function...Ch. 3 - For the following exercises, evaluate the function...Ch. 3 - For the following exercises, use the function...Ch. 3 - For the following exercises, use the function and...Ch. 3 - For the following exercises, use the function...Ch. 3 - For the following exercises, graph the functions...Ch. 3 - For the following exercises, graph the functions...Ch. 3 - For the following exercises, determine whether the...Ch. 3 - For the following exercises, determine whether the...Ch. 3 - For the following exercises, determine whether the...Ch. 3 - For the following exercises, determine whether the...Ch. 3 - For the following exercises, find the inverse of...Ch. 3 - For the following exercises, find the inverse of...Ch. 3 - For the following exercises, use the graph of g...Ch. 3 - For the following exercises, use the graph of g...Ch. 3 - For the following exercises, use the graph of g...Ch. 3 - For the following exercises, use the graph of g...Ch. 3 - For the following exercises, use the graph of the...Ch. 3 - For the following exercises, use the graph of the...Ch. 3 - For the following exercises, use the graph of the...Ch. 3 - For the following exercises, use the values listed...Ch. 3 - For the following exercises, use the values listed...Ch. 3 - For the following exercises, use the values listed...Ch. 3 - For the following exercises, use the values listed...Ch. 3 - For the following exercises, use the values listed...Ch. 3 - For the following exercises, use the values listed...
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- The county's new asphalt paving machine can surface 1 km of highway in 10 h. A much older machine can surface 1 km in 18 h. How long will it take them to surface 21 km of highway if they start at opposite ends and work day and night?arrow_forward3. Write a system of linear equations in slope intercept form that has exactly one solution at the point (3, 4), such that one line has positive slope (but not 1) and the other line has negative slope (but not "1). Also write your system of equations with both equations written in standard form with out any fractions 8- 7 8 5 4 3 -2- + -8-7-6-5-4-3-2-1 1 2 3 -1 2 - ° 4 -5 - -8arrow_forward2. Write a system of linear equations in slope-intercept form has exactly one solution at the point (3, 4), such that both lines have negative slope (but neither one has slope of 1). Also write your system of equations with both equations written in standard form without any fractions. B 0 5 4 3 -2 1 -8-7-6-5-4-3-2 -1 12 3 -1 2 -3 -5 6 -7 -8arrow_forward
- 4. Write a system of linear equations in slope-intercept form that has no solution, such that (3, 4), and (3,8) are solutions to the first equation, and (0, 4) is a solution to the second equation. Also write your system of equations with both equations written in standard form with out any fractions B 0 5 4 3 -2 + -8-7-6-5-4-3-2 -1 |- 1 2 3 -1 2 -3 4 -5 6 -7arrow_forwardShow how you can solve the system of equations by manipulating the algebra tiles while maintaining the balances. On this side of the page, use the addition (elimination) method. Keep track of what you did at each step by writing down the corresponding equivalent equations, as well as what you did to go from one equation to the next. 1. x + 2y = 5 x-2y=1 2. 2x+y=2 x-2y= 6arrow_forwarde) x24 1) Which of these are equivalent to x³? For each expression that is equivalent to x², prove it by using the definition of exponents. For each that is not equivalent to x³, give an example using a specific value for x that shows that it represents a different number. a) (x5) d) f) 10-2 b) (x²) *|*arrow_forward
- Now show how you can solve the system of equations by manipulating the algebra tiles while maintaining the balances, using the substitution method. Keep track of what you did at each step by writing down the corresponding equivalent equations, as well as what you did to go from one equation to the next. Δ 1. x + 2y = 5 x-2y=1 2. 2x + y = 2 x-2y= 6arrow_forward1. Write a system of two linear equations in slope-intercept form that has exactly one solution at the point (3, 4), such that both lines have positive slope (but neither one has slope of 1) Also write your system of equations with both equations written in standard form without any fractions. 8- 7 8 5 4 3 -2- + -8-7-6-5-4-3-2-1 1 2 3 -1 2 - 4 -5 -7 -8arrow_forwardThe original idea for creating this applet comes from Steve Phelps' Graph the Line applet. Directions: 1) Examine the equation shown on the right side of the screen. 2) Reposition the 2 big points so that the line is the graph of the displayed equation. 3) Click the "Check Answer" checkbox to check. If you're correct, the app will inform you. If you're not, you'll know this as well. If you're not correct, keep trying until you position the gray line correctly. 4) After correctly graphing the line, click the "Generate New Line" button.arrow_forward
- Problem 1 & 2 answers 1. One diagonal has 11 squares, then total square in total for two diagonal line is 11 + 11 - 1 = 21 . 2. Each part has 5 squares.(except middle)Multiply by 4: 5 × 4 = 20.Add the middle square: 20 + 1 = 21.arrow_forward2. Now Figure out a different way you could determine how many squares there are in the figure, again without counting them all one-by-one. Briefly describe this other method:arrow_forward1. Without counting all of the squares one by one, determine how many squares there are in the figure shown. Briefly describe your method.arrow_forward
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