Unlock document.
This document is partially blurred.
Unlock all pages and 1 million more documents.
Get Access
22 Chapter P: Preparation for Calculus
P.3 Functions and Their Graphs
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. Evaluate (if possible) the function at . Simplify the result.
a. –7
b. 17
c. 3
d. 7
e. undefined
____ 2. Evaluate (if possible) the function at . Simplify the result.
a.
b.
c.
d.
e.
____ 3. Evaluate (if possible) the function at . Simplify the result.
a.
b.
c.
d.
e. none of the above
____ 4. Let . Then simplify the expression .
a.
b.
c.
d.
e. undefined
P.3 Functions and Their Graphs 23
____ 5. Let . Evaluate the expression and then simplify the
result.
a.
b.
c.
d.
e. undefined
____ 6. Find the domain and range of the function .
a. domain:
range:
b. domain:
range:
c. domain:
range:
d. domain:
range:
e. domain:
range:
____ 7. Find the domain and range of the function .
a. domain:
range:
b. domain:
range:
c. domain:
range:
d. domain:
range:
e. none of the above
24 Chapter P: Preparation for Calculus
____ 8. Find the domain and range of the function .
a. domain:
range:
b. domain:
range:
c. domain:
range:
d. domain:
range:
e. domain:
range:
____ 9. Evaluate the function at .
a.
b.
c.
d.
e.
____ 10. Determine the domain and range of the function .
a. domain:
range:
b. domain:
range:
c. domain:
range:
d. domain:
range:
e. domain:
range:
____ 11. Determine whether y is a function of x.
a. no
b. yes
P.3 Functions and Their Graphs 25
____ 12. Determine whether y is a function of x.
a. no
b. yes
____ 13. Use the graph of given below to find the graph of the function .
a. d.
26 Chapter P: Preparation for Calculus
b. e.
c.
____ 14. Use the graph of given below to find the graph of the function .
P.3 Functions and Their Graphs 27
a. d.
b. e.
c.
28 Chapter P: Preparation for Calculus
____ 15. Given and , evaluate .
a.
b.
c.
d.
e.
____ 16. Determine whether the function is even, odd, or neither.
a. odd
b. even
c. neither
____ 17. Determine whether the function is even, odd, or neither.
a. even
b. odd
c. neither
____ 18. Find the coordinates of a second point on the graph of a function f if the given point
is on the graph and the function is even.
a.
b.
c.
d.
e.
P.3 Functions and Their Graphs 29
____ 19. Find the coordinates of a second point on the graph of a function f if the given point
is on the graph and the function is odd.
a.
b.
c.
d.
e.
____ 20. The horsepower H required to overcome wind drag on a certain automobile is
approximated by where x is the speed of the car in
miles per hour. Find . Round the numerical values in your answer to five decimal places.
a.
b.
c.
d.
e.
30 Chapter P: Preparation for Calculus
____ 21. An open box of maximum volume is to be made from a square piece of material
centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure).
Write the volume V as a function of x, the length of the corner squares.
a.
b.
c.
d.
e.
____ 22. An open box of maximum volume is to be made from a square piece of material
centimeters on a side by cutting equal squares from the corners and turning up the sides(see figure).
What is the domain of the function .
a. domain:
b. domain:
c. domain:
d. domain:
e. domain:
P.3 Functions and Their Graphs 31
P.3 Functions and Their Graphs
Answer Section
