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CPM Practice Test Radicals & Functions Unit 4
Name__________________________________________ Period__________ Date________________
NON-CALCULATOR SECTION
Vocabulary: Define each word and give an example.
1. Rational Exponent
2. Root Index
3. One-to-One Function
Short Answer:
4. How can we verify inverse functions graphically?
5. Describe how a, h and k affect the graph of the function: ?
Review:
6. Solve the equation:
7. Factor completely:
8. Using degree and the sign of the leading coefficient, describe the end behavior of the following
polynomial:
9. Identify the vertical and horizontal asymptotes of the function:
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CPM Practice Test Radicals & Functions Unit 4
Problems: **Be sure to show all work used to obtain your answer. Circle or box in the final answer.**
10. Evaluate the expression:
a. b. c.
11. Simplify the expression. Assume all variables are positive.
a. b.
c. d.
12. Solve the equations:
a. b. c.
d. e. f.
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CPM Practice Test Radicals & Functions Unit 4
13. a) Find an equation for the inverse of the function:
b) Verify graphically that the two functions are inverses.
14. Verify algebraically that the following functions are inverses.
15. Graph the radical functions. Also, state the domain and range
a. b.
D: D:
R: R:
16. Describe the transformations performed on
to -5 5 10 15 20 25 30
-5
-4
-3
-2
-1
1
2
3
4
5
x
y
-6 -4 -2 2 4 6
-6
-4
-2
2
4
6
x
y
-4 -2 2 4 6 8 10
-6
-4
-2
2
4
x
y
-10 -8 -6 -4 -2 2 4
-6
-4
-2
2
4
x
y
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CPM Practice Test Radicals & Functions Unit 4
transform it to and then graph it.
MULTIPLE CHOICE QUESTIONS
17. What is the simplified form of the expression ?
A. C.
B. D.
18. Which is the inverse of the function
A. C.
B. D.
19. The graph of which function is shown?
A. C.
B. D.
-10 -8 -6 -4 -2 2 4 6 8 10
-4
-2
2
4
x
y
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CPM Practice Test Radicals & Functions Unit 4
Name__________________________________________ Period__________ Date________________
CALCULATOR SECTION
1. Find the approximate value of . 2. Solve the equation by graphing.
3. You have a beach ball that has a volume of approximately 7240 cubic inches. Find the radius of the beach ball.
(HINT: Use the formula for the volume of a sphere.)
4. The formula represents the swing of a pendulum. S is the time in seconds to swing back and forth, and L is the length of the pendulum in feet.
a) How long does it take for a 3 foot pendulum to swing back and forth? (Round to three decimal places)
b) Solve the formula for L.
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CPM Practice Test Radicals & Functions Unit 4
c) Find the length of a pendulum that makes one swing in 2.5 seconds. (Round to three decimal places)