Test Bank For Essential Calculus - 2nd - 2013 All Chapters - 9781133112297

Test Bank For Essential Calculus
Stewart_Essential Calc_2e ch01sec01


Stewart_Essential Calc_2e ch01sec01

MULTIPLE CHOICE

1. The graph of the function is given. State the value of .




a.
b.
c.
d.
e.
ANS: C 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 ?




1

,Test Bank For Essential Calculus
Stewart_Essential Calc_2e ch01sec01




a. 4, 2
b. 0
c.
d. –4, 12
e.
ANS: D 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. 54
b. 38
c.
d. 20
e. 35
ANS: C PTS: 1 DIF: Medium REF: 1.1.9
MSC: Bimodal NOT: Section 1.1




2

,Test Bank For Essential Calculus
Stewart_Essential Calc_2e ch01sec01



4. If , find and simplify , where .


a.
b.
c.
d.
ANS: C PTS: 1 DIF: Easy REF: 1.1.21
MSC: Bimodal NOT: Section 1.1


5. If , evaluate the difference quotient .


a.
b.
c.
d. h
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)

b.



c.



d. (–, 0)  (0, )
ANS: D 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?



3

, Test Bank For Essential Calculus
Stewart_Essential Calc_2e ch01sec01



f (x) =




a. D: (– , ); R: [–1, ) c. D: (– , ); R: (– , 3]
y y

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 –2 –1 1 2 3 4 5 6 7 8 x
–1 –1




b. D: (– , ); R: (– , 0] (3, ) d. D: (– , ); R: [0, )
y y

4 10
3 9

2 8

1 7

6
–1 1 2 3 4 5 6 7 8 9 x
–1 5
–2 4
–3 3

–4 2

–5 1

–6
1 2 3 4 5 6 7 8 9 10 x



ANS: C PTS: 1 DIF: Medium REF: 1.1.39
MSC: Bimodal NOT: Section 1.1

8. Find an expression for the function whose graph is the bottom half of the parabola
.

a.


4