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1.5 Inverse Functions
53
____ 9. Find if .
a.
b.
c.
d.
e.
____ 10. Find if .
a.
b.
c.
d.
e.
____ 11. Find if .
a.
b.
c.
d.
e.
54 Chapter 1: Preparation for Calculus
____ 12. Find if .
a.
b.
c.
d.
e.
____ 13. Find if .
a.
b.
c.
d.
e.
____ 14.
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.
1.5 Inverse Functions
55
____ 15.
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
.
10 pounds
17 pounds
7 pounds
5 pounds
13 pounds
____
16.
Use the functions
to find the function
.
a.
b.
c.
d.
e.
____
17.
Use the functions
to find the function
.
a.
b.
c.
d.
e.
____
18.
Evaluate the expression
without using a calculator.
a. 0
b.
c.
d.
e.
56 Chapter 1: Preparation for Calculus
____
19.
Evaluate the expression
without using a calculator.
a.
b.
c.
d.
e.
____
20.
Evaluate the expression
without using a calculator.
a.
b.
c.
3
d.
5
e.
4
____
21.
Write the following expression in algebraic form.
a.
b.
c.
d.
e.
____ 22. Write the following expression in algebraic form.
a.
b.
c.
d.
e.
1.5 Inverse Functions
57
____ 23. Write the following expression in algebraic form.
a.
b.
c.
d.
e.
____ 24. Solve the following equation for .
a.
b.
c.
d.
e.
58 Chapter 1: Preparation for Calculus
____ 25. Solve the following equation for .
a.
b.
c.
d.
e.
1.5 Inverse Functions
59
1.5 Inverse Functions
Answer Section
60
Chapter 1: Preparation for Calculus
1.6 Exponential and Logarithmic Functions
61
1.6 Exponential and Logarithmic Functions
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. What is the domain of the function ?
a.
b.
c.
d.
e.
____ 2. What is the domain of the function ?
a.
b.
c.
d.
e.
____ 3. Write the following expression as a logarithm of a single quantity.
a.
b.
c.
d.
e.
62 Chapter 1: Preparation for Calculus
____ 4. Write the following expression as a logarithm of a single quantity.
a.
b.
c.
d.
e.
____ 5. Solve the following equation for .
a.
b.
c.
d.
e.
1.6 Exponential and Logarithmic Functions
63
____ 6. Solve the following equation for .
a. x 8
b.
c.
d.
e.
____ 7. Solve the following equation for .
a.
b.
c.
d.
e.
____ 8. Solve the following equation for .
a.
b.
c.
d.
e.
64 Chapter 1: Preparation for Calculus
1.6 Exponential and Logarithmic Functions
Answer Section
