1. Another way of writing 5-³ = A. log 1 5-3 125 13 is: B. log-35 = 1 125 C. logs 125 =-3 D. log5-3 = 125

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...
icon
Related questions
Question
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
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
Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning