College Algebra 1st Edition
ISBN: 9781938168383
Author: Jay Abramson
Publisher: Jay Abramson
1 Prerequisites 2 Equations And Inequalities 3 Functions 4 Linear Functions 5 Polynomial And Rational Functions 6 Exponential And Logarithmic Functions 7 Systems Of Equations And Inequalities 8 Analytic Geometry 9 Sequences, Probability And Counting Theory Chapter3: Functions
3.1 Functions And Function Notation 3.2 Domain And Range 3.3 Rates Of Change And Behavior Of Graphs 3.4 Composition Of Functions 3.5 Transformation Of Functions 3.6 Absolute Value Functions 3.7 Inverse Functions Chapter Questions Section3.6: Absolute Value Functions
Problem 1TI: Students who score within 20 points of 80 will pass a test. Write this as a distance from 80 using... Problem 2TI: Write the equation for the absolute value function that is horizontally shifted left 2 units, is... Problem 3TI: For the function f(x)=|2x1|-3 , find the values of x such that f(x)=0 . Problem 1SE: How do you solve an absolute value equation? Problem 2SE: How can you tell whether an absolute value function has two x-intercepts without graphing the... Problem 3SE: When solving an absolute value function, the isolated absolute value term is equal to a negative... Problem 4SE: How can you use the graph of an absolute value function to determine the x- values for which the... Problem 5SE: Describe all numbers x that are at a distance of 4 from the number 8. Express this using absolute... Problem 6SE: Describe all numbers x that are at a distance of 12 from the number - 4. Express this using absolute... Problem 7SE: Describe the situation in which the distance that point x is from 10 is at least 15 units, Express... Problem 8SE: Find all function values f(x) such that the distance from f(x) to the value 8 is less than 0.03... Problem 9SE: For the fallowing exercises, find the x- and y-intercepts of the graphs of each function. f(x)=4x3+4 Problem 10SE: For the fallowing exercises, find the x- and y-intercepts of the graphs of each function. 10.... Problem 11SE: For the fallowing exercises, find the x- and y-intercepts of the graphs of each function. 11.... Problem 12SE: For the fallowing exercises, find the x- and y-intercepts of the graphs of each function. 12.... Problem 13SE: For the fallowing exercises, find the x- and y-intercepts of the graphs of each function. 13.... Problem 14SE: For the fallowing exercises, find the x- and y-intercepts of the graphs of each function. 14.... Problem 15SE: For the fallowing exercises, find the x- and y-intercepts of the graphs of each function. 15.... Problem 16SE: For the following exercises, graph the absolute value function. Plot at least five points by hand... Problem 17SE: For the following exercises, graph the absolute value function. Plot at least five points by hand... Problem 18SE: For the following exercises, graph the absolute value function. Plot at least five points by hand... Problem 19SE: For the following exercises, graph the given functions by hand. y=x2 Problem 20SE: For the following exercises, graph the given functions by hand. y=x Problem 21SE: For the following exercises, graph the given functions by hand. y=x2 Problem 22SE: For the following exercises, graph the given functions by hand. y=x32 Problem 23SE: For the following exercises, graph the given functions by hand. f(x)=x12 Problem 24SE: For the following exercises, graph the given functions by hand. f(x)=x+3+4 Problem 25SE: For the following exercises, graph the given functions by hand. f(x)=2x+3+1 Problem 26SE: For the following exercises, graph the given functions by hand. f(x)=3x2+3 Problem 27SE: For the following exercises, graph the given functions by hand. f(x)=2x43 Problem 28SE: For the following exercises, graph the given functions by hand. f(x)=3x+9+2 Problem 29SE: For the following exercises, graph the given functions by hand. 29. f(x)=x13 Problem 30SE: For the following exercises, graph the given functions by hand. 30. f(x)=x+43 Problem 31SE: For the following exercises, graph the given functions by hand. 31. f(x)=12x+43 Problem 32SE: Use a graphing utility to graph f(x)=10|x-|2 on the viewing window [0,4] . Identify the... Problem 33SE: Use a graphing utility to graph f(x)=100|x|+100 on the viewing window [5,5] . Identify the... Problem 34SE: For the following exercises, graph each function using a graphing utility. Specify the viewing... Problem 35SE: For the following exercises, graph each function using a graphing utility. Specify the viewing... Problem 36SE: For the following exercises, solve the inequality. 36. If possible, find all values of a such that... Problem 37SE: For the following exercises, solve the inequality. 37. If possible, find all values of a such that... Problem 38SE: Cities A and B are on the same east-west line. Assume that city A is located at the origin. If the... Problem 39SE: The true proportion p of people who give a favorable rating to Congress is 8% with a margin of error... Problem 40SE: Students who score within 18 points of the number 82 will pass a particular test. Write this... Problem 41SE: A machinist must produce a bearing that is within 0.01 inches of the correct diameter of 5.0 inches,... Problem 42SE: The tolerance for a ball bearing is 0.01. If the true diameter of the bearing is to be 2.0 inches... Problem 11SE: For the fallowing exercises, find the x- and y-intercepts of the graphs of each function. 11....
Related questions
Sketch the graph of the following piecewise function
Let g(x) = −f(x) and h(x) = 1 − f(x). Add the sketches of y = g(x) and y = h(x) to your picture.
Transcribed Image Text: 2. Sketch the graph of the following piecewise function
-1
x E (-0, -3)
2x
+2
-3 <x < 0
f(x) =
V4 – x2 x E (0,2)
x2 – 4
x > 2
Let g(x) = - f(x) and h(x) = 1 – f(x). Add the sketches of y = g(x) and y = h(x) to
your picture.
Definition Definition Group of one or more functions defined at different and non-overlapping domains. The rule of a piecewise function is different for different pieces or portions of the domain.
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