True or False: 1. Given f(x)  is a logarithmic function. Let g(x) be the resulting function when f(x) is shifted to the left by 3 units. g^-1(x) is the resulting function when f^−1(x) is shifted down by 3 units. 2. Given f(x)  is an exponential function. Let g(x) be the resulting function when f(x) is shifted down by 5 units. g^-1(x) is the resulting function when f^−1(x) is shifted up by 5 units. 3. If (-3,2) is a point on the graph of the exponential function f(x)  then (2,-3) is a point on the graph of the logarithmic function f^−1(x).

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CR: Chapter Review
Problem 32E
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True or False:

1. Given f(x)  is a logarithmic function. Let g(x) be the resulting function when f(x) is shifted to the left by 3 units.

g^-1(x) is the resulting function when f^−1(x) is shifted down by 3 units.

2. Given f(x)  is an exponential function. Let g(x) be the resulting function when f(x) is shifted down by 5 units.

g^-1(x) is the resulting function when f^−1(x) is shifted up by 5 units.

3. If (-3,2) is a point on the graph of the exponential function f(x)  then (2,-3) is a point on the graph of the logarithmic function f^−1(x).

 

Question 1
Given f(x) is a logarithmic function. Let g(x) be the resulting function
when f(x) is shifted to the left by 3 units.
g (x) is the resulting function when f-(x) is shifted down by 3
units.
O True
O False
Question 2
Given f(x) is an exponential function. Let g(x) be the resulting
function when f(x) is shifted down by 5 units.
g-(x) is the resulting function when f-(x) is shifted up by 5 units.
True
False
Question 3
If (-3,2) is a point on the graph of the exponential function f(x) then
(2,-3) is a point on the graph of the logarithmic function f-(x).
O True
O False
Transcribed Image Text:Question 1 Given f(x) is a logarithmic function. Let g(x) be the resulting function when f(x) is shifted to the left by 3 units. g (x) is the resulting function when f-(x) is shifted down by 3 units. O True O False Question 2 Given f(x) is an exponential function. Let g(x) be the resulting function when f(x) is shifted down by 5 units. g-(x) is the resulting function when f-(x) is shifted up by 5 units. True False Question 3 If (-3,2) is a point on the graph of the exponential function f(x) then (2,-3) is a point on the graph of the logarithmic function f-(x). O True O False
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