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REVIEW FOR FINAL EXAM 2015
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(Answers are given at the end of this Review Test, but you MUST SHOW YOUR WORK to gain grades)MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
The graph of an exponential function is given. Match the graph to one of the following functions.1) 1)
A) f(x) = 5x - 2 B) f(x) = 5x + 2 C) f(x) = 5x - 2 D) f(x) = 5x
2) 2)
A) f(x) = 5x + 1 B) f(x) = 5x - 1 C) f(x) = 5x + 1 D) f(x) = 5x
3) 3)
A) f(x) = -5-x B) f(x) = 5x C) f(x) = 5-x D) f(x) = -5x
Answers are given at the end of this Review Test, but you MUST SHOW YOUR WORK to gain grades!!
4) 4)
A) f(x) = -3-x B) f(x) = 3-x C) f(x) = -3x D) f(x) = 3x
5) 5)
A) f(x) = 4-x B) f(x) = -4x C) f(x) = 4x D) f(x) = -4-x
Use transformations to graph the function. Determine the domain, range, and horizontal asymptote of the function.6) f(x) = -2x+3 + 4 6)
Answers are given at the end of this Review Test, but you MUST SHOW YOUR WORK to gain grades!!2
A)
domain of f: (- , ); range of f: (-4, ); horizontal asymptote: y = 4
B)
domain of f: (- , ); range of f: (- , -4); horizontal asymptote: y = -4
C)
domain of f: (- , ); range of f: (- , 4); horizontal asymptote: y = 4
Answers are given at the end of this Review Test, but you MUST SHOW YOUR WORK to gain grades!!3
D)
domain of f: (- , ); range of f: (- , -4); horizontal asymptote: y = -4
7) f(x) = 3(x - 4) 7)
A)
domain of f: (- , ); range of f:(- , 0)horizontal asymptote: y = 0
B)
domain of f: (- , ); range of f:(0, )horizontal asymptote: y = 0
Answers are given at the end of this Review Test, but you MUST SHOW YOUR WORK to gain grades!!4
C)
domain of f: (- , ); range of f:(- , 0)horizontal asymptote: y = 0
D)
domain of f: (- , ); range of f:(0, ) horizontal asymptote: y = 0
8) f(x) = 5-x + 2 8)
A)
domain of f: (- , ); range of f:(5, ) horizontal asymptote: y = 5
B)
domain of f: (- , ); range of f:(5, ) horizontal asymptote: y = 5
Answers are given at the end of this Review Test, but you MUST SHOW YOUR WORK to gain grades!!5
C)
domain of f: (- , ); range of f:(2, ) horizontal asymptote: y = 2
D)
domain of f: (- , ); range of f:(2, ) horizontal asymptote: y = 2
Graph the function.9) f(x) = 4(x - 3) - 1 9)
A) B)
Answers are given at the end of this Review Test, but you MUST SHOW YOUR WORK to gain grades!!6
C) D)
10) f(x) = 2- x - 2 10)
A) B)
C) D)
Answers are given at the end of this Review Test, but you MUST SHOW YOUR WORK to gain grades!!7
Solve the equation.11) 41 + 2x = 1024 11)
A) {8} B) {-2} C) {2} D) {256}
12) 7x = 1 12)
A) 17
B) {0} C) {1} D)
13) 4-x=
116
13)
A) {2} B) 14
C) 12
D) {-2}
14) 47 - 3x =116
14)
A) {4} B) {-3} C) {3} D) 14
15) 4x=
1256
15)
A) 14
B) {4} C) {-4} D) 164
16) 5x = 625 16)A) {3} B) {5} C) {125} D) {4}
The graph of a logarithmic function is shown. Select the function which matches the graph.17) 17)
A) y = log(2 - x) B) y = 2 - log x C) y = log(x - 2) D) y = log x - 2
Answers are given at the end of this Review Test, but you MUST SHOW YOUR WORK to gain grades!!8
18) 18)
A) y = log(2 - x) B) y = log(x - 2) C) y = 2 - log x D) y = log x - 2
19) 19)
A) y = log(x - 1) B) y = log(1 - x) C) y = 1 - log x D) y = log x - 1
20) 20)
A) y = 2 - log x B) y = log(x - 2) C) y = log x - 2 D) y = log(2 - x)
Answers are given at the end of this Review Test, but you MUST SHOW YOUR WORK to gain grades!!9
21) 21)
A) y = log(-x) B) y = -log(-x) C) y = -log x D) y = log x
Solve the equation.22) log 4 x = 3 22)
A) {12} B) {81} C) {64} D) {7}
23) log 4 16 = x 23)A) {20} B) {2} C) {4} D) {64}
24) log11 x2 = 4 24)
A) {2048} B) {2 11, -2 11} C) {14,641} D) {121, -121}
25) log 3 (x + 1) = 2 25)A) {8} B) {9} C) {7} D) {10}
26) log 6 (x - 4) = -3 26)
A) 865729
B) -863729
C) 865216
D) -863216
Use the properties of logarithms to find the exact value of the expression. Do not use a calculator.27) log7 720 27)
A) 7 B) 140 C) 20 D) 1
28) ln e 7 28)A) 49 B) e C) 7 D) 7
29) ln e 7 29)A) 49 B) e C) 7 D) 7
30) log108 18 + log108 6 30)A) 6 B) 1 C) 108 D) 18
Answers are given at the end of this Review Test, but you MUST SHOW YOUR WORK to gain grades!!10
31) log4 20 - log4 5 31)A) 4 B) 20 C) 5 D) 1
32) log4 24 - log4 6 32)A) 6 B) 1 C) 4 D) 24
Write as the sum and/or difference of logarithms. Express powers as factors.
33) log19617
33)
A) log19 17 - log19 6 B) log19 6 ÷ log 19 17C) log19 6 - log 19 17 D) log19 6 + log 19 6
34) log1419 r
s34)
A) log14 (19 r) - log 14 s B) log14 19 ·12
log14 m ÷ log14 s
C) log14 s - log 14 19 -12
log 14 r D) log14 19 +12
log 14 r - log 14 s
35) log 5x4
y835)
A) 12
log5xy
B) 8 log5 y - 4 log 5 x
C) 4 log5 x - 8 log5 y D) 4 log5 x + 8 log5 y
36) log 2x + 4x6
36)
A) log2 (x + 4) + 6 log2 x B) 6 log2 x - log 2 (x + 4)C) log2 (x + 4) - log2 x D) log2 (x + 4) - 6 log2 x
37) log w9x2
37)
A) logw 9 + log w x + logw 2 B) logw 7xC) logw 9x - log w 2 D) logw 9 + log w x - logw 2
Answers are given at the end of this Review Test, but you MUST SHOW YOUR WORK to gain grades!!11
Answer KeyTestname: UNTITLED2
1) D2) A3) D4) B5) D6) C7) D8) C9) B
10) D11) C12) B13) A14) C15) C16) D17) D18) B19) B20) A21) B22) C23) B24) D25) A26) C27) C28) D29) C30) B31) D32) B33) C34) D35) C36) D37) D
Answers are given at the end of this Review Test, but you MUST SHOW YOUR WORK to gain grades!!12
