Calculus & Its Applications, 14E By Lay
Email: richard@qwconsultancy.com
Exam Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Draw the interval on a number line. 1) (-4, 9]
1)
A)
B)
C)
D)
2) [-2, 2)
2)
A)
B)
C)
D)
3) [-1, )
3)
A)
B)
C)
D)
1
4) [2, 2 )
4)
A)
B)
C)
D)
5) (- 8, 7)
5)
A)
B)
C)
D)
6) Use intervals to describe the real numbers satisfying the inequality, x < 9, x -2. A) (-2, 9] B) [-9, 2) C) (-2, 9) D) [-2, 9) E) none of these
6)
7) Use intervals to describe the real numbers satisfying the inequality, x A) (- , 7) B) ( 7, ) C) (- , 7] D) [ 7, ) E) none of these
7)
Use intervals to describe the real numbers satisfying the inequality. 8) x -7 A) [-7, ) B) (- , -7) C) (- , -7]
9) -1 < x < 4 A) (-1, 4] 10) 1 x 8 A) [1, 8)
7.
8) D) [- , -7] 9)
B) [-1, 4)
C) (-1, 4)
D) [-1, 4] 10)
B) (1, 8)
C) (1, 8] 2
D) [1, 8]
Evaluate the function. 11) f(x) = x2 - 4x - 7; Find f(0). A) 49 B) -7
11) C) 0
12) f(x) = 2x2 - 2x - 7; Find f(-2). A) 19 B) 1
D) 7 12) D) 5
C) -3
13) f(x) = 3x ; Find f(-3).
13)
4x + 1
A) 9
B) 3
11
D) 3
C) - 9
5
14) f(x) = 2x2 - 2x + 2; Find f(t - 1). A) 2t2 + 2t + 2 B) 2t2 - 6t + 2
4
14) C) 2t2 - 6t + 6
D) -6t2 + 2t + 6
Evaluate the function for the given value. x-7 1 if x 2x + 1 2 1 15) f(x) = 1 ; f- 2 7 if x = 2
A) - 7
C) - 15
B) 7
2
16) f(x) =
15)
x-5 2x + 4
if x - 2
14
if x = - 2
A) 0
D) 0
2
; f(5)
16)
B) 1
C) 70
14
D) 14
17) If f(x) = 1 + x, find f(9). A) 3 B) 10 C) 3 D) 2 E) none of these
17)
18) If f(x) = 2x , find f(-2).
18)
x2 + 1
A) 0
B) 4 5
C) 4
D) -2
3
3
E) - 4 5
19) For f(x) = -x2 + 3x + 1 compute f(x + 1). A) -x2 + 5x + 5 B) -x2 + 3x + 5 C) -x2 + x + 3 D) -x2 + 3x + 3 E) none of these
19)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem.
20) Let f(x) =
x+4
x2 + 4x + 4
. Find f(1) = a, f(-1) = b, f(2) = c.
20)
Enter your answer exactly as : f(1)=a, f(-1)=b, f(2)=c using reduced fractions or integers for a,b, and c.
21) Let g(x) =
1
25 - x2
. Find g(-4).
21)
Enter your answer exactly in the form: g(-4)=a/b where a and b are integers, and a/b is in lowest terms. 2 22) If h(t) = t , find h(a + 2) .
22)
t- 6
Enter your answer exactly in the form: P(a) h(a + 2) = Q(a) Where P and Q are polynomials in standard form.
23) Is the point 1 , 2 on the graph of the function f(x) = (x + 1)2 - x ? 2
2
23)
Enter your answer as just the word yes or the word no. x2 1 24) Compute f(-2), f(0), and f(3) where f(x) = x-2
for -5 x -1 for -1 < x 2
12 - x
24)
for 2 < x
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.
25) 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.
4
25)