The function f(x)=log3xf(x)=log3x is transformed by the mapping statement f(x)→f(x−1)−1f(x)→f(x−1)−1. Part A: Will the transformation affect the intersection of f(x)f(x) and the line y=1y=1? Why Part B: Which graph illustrates this transformation, where f(x)f(x) is the preimage and g(x)g(x) is the image? Select one answer that correctly answers both questions in Part A and select one answer for Part B.
The function f(x)=log3xf(x)=log3x is transformed by the mapping statement f(x)→f(x−1)−1f(x)→f(x−1)−1. Part A: Will the transformation affect the intersection of f(x)f(x) and the line y=1y=1? Why Part B: Which graph illustrates this transformation, where f(x)f(x) is the preimage and g(x)g(x) is the image? Select one answer that correctly answers both questions in Part A and select one answer for Part B.
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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The function f(x)=log3xf(x)=log3x is transformed by the mapping statement f(x)→f(x−1)−1f(x)→f(x−1)−1.
Part A: Will the transformation affect the intersection of f(x)f(x) and the line y=1y=1? Why
Part B: Which graph illustrates this transformation, where f(x)f(x) is the preimage and g(x)g(x) is the image?
Select one answer that correctly answers both questions in Part A and select one answer for Part B.

Transcribed Image Text:O B:
OA: Yes. The intersection changes because a translation of the graph changes the base.
DA: Yes. Because the transformation affects the entire graph, the intersection of
fx) and y = 1 will also be moved.
O A: No. The transformation does not affect the entire graph.
OA: No. Although the transformation will move the graph, it will not affect the x-
coordinates.
f(x)
g(x)
DA: No. Although the transformation will move the graph, it will not affect the y-
coordinates.
© 2017 FlipSwitch. Created using GeoGebra.
J B:
B:
O B:
5
-5
5
-5
5.
-5
g(x)/ | f(x)
f(x).
g(x)
-5
© 2017 FlipSwitch. Created using GeoGebra.
© 2017 FlipSwitch. Created using GeoGebra.
© 2017 FlipSwitch. Created using GeoGebra.
5.
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