Larson_Calculus_10e ch00sec03
MULTIPLE CHOICE
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
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
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
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.
b.
e.
c.
14. Use the graph of given below to find the graph of the function .
a.
d.
b.
e.
c.
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.
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.
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: