Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN: 9781337111348
Author: Bruce Crauder, Benny Evans, Alan Noell
Publisher: Cengage Learning
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Chapter A.2, Problem 10P
A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches.
a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x.
b. Express the total surface area S of the can in terms of x.
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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!
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?
Chapter A Solutions
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Ch. A.1 - PRACTICE PROBLEMS Use the rules for order of...Ch. A.1 - PRACTICE PROBLEMS Use the rules for order of...Ch. A.1 - Prob. 3PCh. A.1 - Prob. 4PCh. A.1 - PRACTICE PROBLEMS Use the rules for order of...Ch. A.1 - Prob. 6PCh. A.1 - Prob. 7PCh. A.1 - Prob. 8PCh. A.1 - Prob. 9PCh. A.1 - Prob. 10P
Ch. A.2 - PRACTICE PROBLEMS Two hundred yards of fence is to...Ch. A.2 - Prob. 2PCh. A.2 - Prob. 3PCh. A.2 - Prob. 4PCh. A.2 - PRACTICE PROBLEMS Find the area of a slice of...Ch. A.2 - Prob. 6PCh. A.2 - Prob. 7PCh. A.2 - PRACTICE PROBLEMS A ball is chopped in half, and...Ch. A.2 - A soda can is made from 40 square inches of...Ch. A.2 - A soda can has a volume of 25 cubic inches. Let x...Ch. A.3 - Prob. 1PCh. A.3 - Prob. 2PCh. A.3 - Prob. 3PCh. A.3 - Prob. 4PCh. A.3 - Prob. 5PCh. A.3 - Prob. 6PCh. A.3 - Prob. 7PCh. A.3 - Prob. 8PCh. A.3 - Prob. 9PCh. A.3 - Prob. 10PCh. A.4 - PRACTICE PROBLEMS Solve by factoring x29=0.Ch. A.4 - Prob. 2PCh. A.4 - PRACTICE PROBLEMS Solve by factoring x2+6x+9=0.Ch. A.4 - PRACTICE PROBLEMS Solve by factoring x28x=9.Ch. A.4 - Prob. 5PCh. A.4 - Prob. 6PCh. A.4 - Prob. 7PCh. A.4 - Prob. 8PCh. A.4 - Prob. 9PCh. A.4 - Prob. 10PCh. A.5 - Prob. 1PCh. A.5 - Prob. 2PCh. A.5 - Prob. 3PCh. A.5 - Prob. 4PCh. A.5 - Prob. 5PCh. A.5 - Prob. 6PCh. A.5 - Prob. 7PCh. A.5 - Prob. 8PCh. A.5 - Find the equation of the line passing through...Ch. A.5 - Find the equation of the line passing through...Ch. A.6 - Practice with Exponents Problems A-1 through A-5...Ch. A.6 - Prob. 2PCh. A.6 - Practice with Exponents Problems A-1 through A-5...Ch. A.6 - Practice with Exponents Problems A-1 through A-5...Ch. A.6 - Prob. 5PCh. A.6 - Prob. 6PCh. A.6 - Prob. 7PCh. A.6 - Prob. 8PCh. A.6 - Prob. 9PCh. A.6 - Prob. 10PCh. A.7 - Prob. 1PCh. A.7 - Prob. 2PCh. A.7 - Prob. 3PCh. A.7 - Write x2+12x+1 in the form a(xp)2+q.Ch. A.7 - Prob. 5PCh. A.7 - Prob. 6PCh. A.7 - Prob. 7PCh. A.7 - Prob. 8PCh. A.7 - Prob. 9PCh. A.7 - Prob. 10P
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