Type:
Test Bank
Resource:
Brief Calculus & Its Applications
Edition:
12th Edition
Author(s):
Larry J. Goldstein David I. Schneider David C. Lay Nakhle H. Asmar
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Use intervals to describe the real numbers satisfying the inequality, x < 9, x ≥ -2. 1) _______ A) (-2, 9] B) [-9, 2) C) [-2, 9) D) (-2, 9) E) none of these 2) Use intervals to describe the real numbers satisfying the inequality, x ≥ A) (-∞, B) [
2) _______
.
]
, ∞)
C) (
, ∞) D) (-∞, ) E) none of these 3)
3) _______
If f(x) = , find f(9). A) B) C) 2 D) 3 E) none of these
4)
4) _______ If f(x) = A)
, find f(-2). B) -2
C)
D)
E) 0
5) For f(x) = -
+ 3x + 1 compute f(x + 1).
A) -
+x+3
B) -
+ 5x + 5
C) -
+ 3x + 5
5) _______
D) -
+ 3x + 3 E) none of these
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem. 6) 6) _____________ Let f(x) = . Find f(1) = a, f(-1) = b, f(2) = c. Enter your answer exactly as : f(1)=a, f(-1)=b, f(2)=c using reduced fractions or integers for a,b, and c. 7) Let g(x) =
. Find g(-4).
Enyour answer te exactly in the r form:
g(-4)=a/b 7) where a and b are integers, and a/b is in lowest terms.
__ __ __ __ __ __ _
8)
8) _____________ If h(t) = , find h(a + 2) . Enter your answer exactly in the form: h(a + 2) = Where P and Q are polynomials in standard form.
9)
9) _____________ Is the point on the graph of the function f(x) = Enter your answer as just the word yes or the word no.
-
?
10)
10) _____________
Compute f(-2), f(0), and f(3) where Enter your answer exactly in the form: a,b,c where a < b < c and are either fractions of the form d/e in lowest terms or integers. 11) If f(3) = 5 + a and (3, -1) is on the graph of f, find a. Enter your answer as just an integer, no variables. Use the following graph to solve the problem. 12)
Are all of the following true? Enter your answer exactly as just the word true or the word false. (a) f(3) = 2 (b) f(5) = 0
11) _____________
(c) n f(4) f(-2 (f) f(x) = 0 for ) is x=0,5 neg (g) f(x) ≤ 0 on ativ (-∞, 0] ∪ [5, ∞) e (d) f(6) is neg ativ e (e) f(2) is gre ater tha
12)
_____________ 13) Consider the curve f(x) in the accompanying sketch.
13) _____________
Find f(2). Enter your answer as just an integer. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 14) 14) ______ If f(x) = , which of the following are true? (I) -1 is the domain (II)
f
=-
(III) f(0) = (IV) f is not defined at x = -2 and x = -1 A) II and III B) II and IV C) I and IV D) I and II E) none of these 15) Which of the following pairs of points lie on the line -x + 3y = 12? A) (0, 12) and (2, 6) B) (1, 3) and (0, 2) C) (-12, 0) and (0, 4) D) (12, 0) and (0, 4)
15) ______
16)
16) ______ Describe the domain of the function f(x) = A) x ≠ 1, 3 B) x ≠ -1, -3, and f(2) = 1 C) x = 1, 3 D)
.
x ≠ 1 , and f(0) = E) none of these 17)
17) ______ Describe the domain of the function f(x) = A) x ≥ 1 B) x ≤ 1 C) x ≥ 0 D) x < 1 E) none of these
.
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Solve the problem. 18)
18) _____________
Describe the domain of f(x) = . Enter your answer in standard interval notation. No variables. 19)
19) _____________ Describe the domain of g(x) = . Enter your answer in standard interval notation. No variables.
20) Describe the domain of f(x) =
+ + Enter your answer in standard interval notation. No variables.
+
-
21)
.
20) _____________
21) _____________ Describe the domain of the function g(x) = . Enter your answer in standard interval notation. No variables.
22)
22) _____________ Describe the domain of the function Enter your answer in standard interval notation. No variables.
.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 23) Decide which curve is the graph of a function. 23) ______ A) B)
C)
D) none of these
24) Decide which of the curves below are graphs of functions? (I) (II) (III)