Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. Another way of writing 5-³ = is:
125
A. log_₁ 5 = −3
1
125
B. log_3 5 =
-3
2. Another way of writing log4 64 = 3 is:
A. 34 = 64
B. = 64
1
43
A. x = =
²3
2
1
125
4. What is the x-intercept of the function y =
1
B. x = =
4
3. Which transformed function g(x) would model a horizontal stretch of the function f(x) = log x ?
A. g(x) = 2log(2x)
B. g(x) = -log(-x)
C. g(x) = 3log(x − 3)
= -log(4x − 1)?
1
C. log5 = -3
125
C. Horizontally stretched by a factor of
3
C. 64-4 = 3
C. x = 1
D. log5 -3 = 125
6. Compared to the function f(x) = logx, the function g(x) = -log(3x) is:
2
A. Reflected in the y-axis
D. 4³ = 64
D. g(x) = 0.5 log(0.5x)
5. Which should be applied first when transforming a logarithmic function f(x) = log x to g(x) = log[k(x − d)] + c
A. Horizontal stretch/
B. Horizontal translation
C. Vertical translation
D. Order of transformations
compression/reflection
does not matter
D. Does not exist
1
B. Compressed vertically by a factor of 2
D. Horizontally stretched by a factor of 3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2dd0f4b4-7ce9-4e5e-85f9-fe0558ace1a7%2Ffaa1d24e-b584-43e7-9c23-e203a3936cd9%2F250rozp_processed.png&w=3840&q=75)
Transcribed Image Text:1
1. Another way of writing 5-³ = is:
125
A. log_₁ 5 = −3
1
125
B. log_3 5 =
-3
2. Another way of writing log4 64 = 3 is:
A. 34 = 64
B. = 64
1
43
A. x = =
²3
2
1
125
4. What is the x-intercept of the function y =
1
B. x = =
4
3. Which transformed function g(x) would model a horizontal stretch of the function f(x) = log x ?
A. g(x) = 2log(2x)
B. g(x) = -log(-x)
C. g(x) = 3log(x − 3)
= -log(4x − 1)?
1
C. log5 = -3
125
C. Horizontally stretched by a factor of
3
C. 64-4 = 3
C. x = 1
D. log5 -3 = 125
6. Compared to the function f(x) = logx, the function g(x) = -log(3x) is:
2
A. Reflected in the y-axis
D. 4³ = 64
D. g(x) = 0.5 log(0.5x)
5. Which should be applied first when transforming a logarithmic function f(x) = log x to g(x) = log[k(x − d)] + c
A. Horizontal stretch/
B. Horizontal translation
C. Vertical translation
D. Order of transformations
compression/reflection
does not matter
D. Does not exist
1
B. Compressed vertically by a factor of 2
D. Horizontally stretched by a factor of 3
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