,Stewart_Essential Calc_2ET ch01sec01
MULTIPLE CHOICE
1. The graph of the function is given. State the value of .
a.
b.
c.
d.
e.
ANS: E PTS: 1 DIF: Medium REF: 1.1.3b
MSC: Bimodal NOT: Section 1.1
2. The graphs of and are given. For what values of x is ?
a. 4, 2
, b.
c. 0
d.
e. –4, 12
ANS: E PTS: 1 DIF: Medium REF: 1.1.4b
MSC: Bimodal NOT: Section 1.1
3. The graph shown gives the weight of a certain person as a function of age. Find the age at
which the person started an exercise program.
a. 35
b. 38
c. 20
d. 54
e.
ANS: E PTS: 1 DIF: Medium REF: 1.1.9
MSC: Bimodal NOT: Section 1.1
4. If , find and simplify , where .
a.
b.
c.
d.
ANS: A PTS: 1 DIF: Easy REF: 1.1.21
MSC: Bimodal NOT: Section 1.1
5. If , evaluate the difference quotient .
a. h
b.
c.
d.
e. none of these
ANS: E PTS: 1 DIF: Medium REF: 1.1.22
, MSC: Bimodal NOT: Section 1.1
6. Find the domain of the function.
a. (–, 0) (0, )
b. (–, 0)
c.
d.
ANS: A PTS: 1 DIF: Easy REF: 1.1.25
MSC: Bimodal NOT: Section 1.1
7. Find the domain and sketch the graph of the function. What is its range?
f (x) =
a. D: (– , ); R: [0, ) c. D: (– , ); R: (– , 3]
y y
10 9
9 8
8 7
7 6
6 5
5 4
4 3
3 2
2 1
1
–2 –1 1 2 3 4 5 6 7 8 x
–1
1 2 3 4 5 6 7 8 9 10 x
b. D: (– , ); R: (– , 0] (3, ) d. D: (– , ); R: [–1, )
MULTIPLE CHOICE
1. The graph of the function is given. State the value of .
a.
b.
c.
d.
e.
ANS: E PTS: 1 DIF: Medium REF: 1.1.3b
MSC: Bimodal NOT: Section 1.1
2. The graphs of and are given. For what values of x is ?
a. 4, 2
, b.
c. 0
d.
e. –4, 12
ANS: E PTS: 1 DIF: Medium REF: 1.1.4b
MSC: Bimodal NOT: Section 1.1
3. The graph shown gives the weight of a certain person as a function of age. Find the age at
which the person started an exercise program.
a. 35
b. 38
c. 20
d. 54
e.
ANS: E PTS: 1 DIF: Medium REF: 1.1.9
MSC: Bimodal NOT: Section 1.1
4. If , find and simplify , where .
a.
b.
c.
d.
ANS: A PTS: 1 DIF: Easy REF: 1.1.21
MSC: Bimodal NOT: Section 1.1
5. If , evaluate the difference quotient .
a. h
b.
c.
d.
e. none of these
ANS: E PTS: 1 DIF: Medium REF: 1.1.22
, MSC: Bimodal NOT: Section 1.1
6. Find the domain of the function.
a. (–, 0) (0, )
b. (–, 0)
c.
d.
ANS: A PTS: 1 DIF: Easy REF: 1.1.25
MSC: Bimodal NOT: Section 1.1
7. Find the domain and sketch the graph of the function. What is its range?
f (x) =
a. D: (– , ); R: [0, ) c. D: (– , ); R: (– , 3]
y y
10 9
9 8
8 7
7 6
6 5
5 4
4 3
3 2
2 1
1
–2 –1 1 2 3 4 5 6 7 8 x
–1
1 2 3 4 5 6 7 8 9 10 x
b. D: (– , ); R: (– , 0] (3, ) d. D: (– , ); R: [–1, )