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Calculus Concepts And Contexts 4th Edition by James Stewart - Test Bank
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,Section 1.1: Four Ways to Represent a Function1. Find the smallest value in the domain of the function f (x) = .
a. 2 e. –2
b. f. 1
c. 5 g. 0
d. h. –5
ANS: B PTS: 1
2. Find the smallest value in the range of the function f (x) = 3x2 + 24x + 40.
a. e.
b. f.
c. g.
d. h.
ANS: E PTS: 1
3. The range of the function f (x) = is a closed interval [a; b]. Find its length b – a.
a. 1 e. 5
b. 2 f. 6
c. 3 g. 7
d. 4 h. 9
ANS: F PTS: 1
4. Find the smallest value in the range of the function f (x) = .
a. 2 e.
b. 3 f.
c. 5 g. 0
d. h. 1
ANS: B PTS: 1
5. Find the largest value in the domain of the function .
a. e.
b. f.
c. 0 g. 3
d. 2 h. No largest value
ANS: F PTS: 1
, 6. Find the range of the function .
a. [0,) e. [4,
b. (– f. (–
c. [–4, g. [2,
d. (– h. (––
ANS: C PTS: 1
7. Find the range of the function f (x) = .
a. [1,) e. [–1,
b. (1, f. (–1.
c. [0, g. [0,1]
d. (0, h.
ANS: C PTS: 1
8. The function f (x) = has as its domain all values of x such that
a. x 0 e. 0 x 1
b. x f. x 1 or x 0
c. x 0 g. x 1
d. x 1 h. –1 x 0
ANS: F PTS: 1
9. Find the range of the function f (x) =
a. e. ( ,
b. f. ( ,
c. g. ( ,
d. ( (, h.
ANS: A PTS: 1
10. Which of the following are graphs of functions?
, a. I only e. I and III only
b. II only f. I, II, and IV only
c. III only g. II and V only
d. I and II only h. I,II, III only
ANS: F PTS: 1
11. Each of the functions in the table below is increasing, but each increases in a different way. Select the
graph from those given below which best fits each function:
t 1 2 3 4 5 6
f (t) 26 34 41 46 48 49
g (t) 16 24 32 40 48 56
h (t) 36 44 53 64 77 93
ANS:
f(t): (B)
g(t): (A)
h(t): (C)
PTS: 1
12. Each of the functions in the table below is decreasing, but each decreases in a different way. Select the
graph from those given below which best fits each function:
t 1 2 3 4 5 6
f (t) 98 91 81 69 54 35
g (t) 80 71 63 57 53 52
h (t) 78 69 60 51 42 33
ANS:
f(t): (B)
g(t): (C)
h(t): (A)
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