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302 Chapter 5: Logarithmic, Exponential, and Other Transcendental Functions
5.3 Inverse Functions
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. Match the graph of the function given below with the graph of its inverse function.
a. d.
5.3 Inverse Functions 303
b. e.
c.
____ 2. Match the graph of the function given below with the graph of its inverse function.
304 Chapter 5: Logarithmic, Exponential, and Other Transcendental Functions
a. d.
b. e.
c.
5.3 Inverse Functions 305
____ 3. Use the Horizontal Line Test to determine whether the following statement is true or
false.
The function is one-to-one on its entire domain and therefore has an inverse
function.
a. false
b. true
____ 4. Use the Horizontal Line Test to determine whether the following statement is true or
false.
The function is one-to-one on its entire domain and therefore has an inverse
function.
a. true
b. false
____ 5. True or False: The function is one-to-one on its entire domain.
a. false
b. true
____ 6. True or False: The function is one-to-one on the domain
.
a. false
b. true
____ 7. Find if .
a.
b.
c.
d.
e.
306 Chapter 5: Logarithmic, Exponential, and Other Transcendental Functions
____ 8. Find if .
a.
b.
c.
d.
e.
____ 9. Find if .
a.
b.
c.
d.
e.
____ 10. Find if .
a.
b.
c.
d.
e.
5.3 Inverse Functions 307
____ 11. Find if .
a.
b.
c.
d.
e.
____ 12. You need 50 pounds of two commodities costing $1.80 and $2.40 per pound. Find
the inverse function of the cost function .
a.
b.
c.
d.
e.
____ 13. You need 50 pounds of two commodities costing $1.60 and $1.95 per pound.
Determine the number of pounds of the less expensive commodity purchased if the total cost
.
a. 10 pounds
b. 17 pounds
c. 7 pounds
d. 5 pounds
e. 13 pounds
308 Chapter 5: Logarithmic, Exponential, and Other Transcendental Functions
____ 14. Use the functions to find the function .
a.
b.
c.
d.
e.
____ 15. Use the functions to find the function .
a.
b.
c.
d.
e.
____ 16. Find if .
a.
b.
c.
d.
e.
5.3 Inverse Functions 309
5.3 Inverse Functions
Answer Section
MULTIPLE CHOICE
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