1. Given f(x)  is an exponential function. Let g(x) be the resulting function when f(x) is shifted to the right by 4 units. Which of the following properties of f(x) will change for g(x) ?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 27E
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1. Given f(x)  is an exponential function. Let g(x) be the resulting function when f(x) is shifted to the right by 4 units. Which of the following properties of f(x) will change for g(x) ?

2. Given f(x) is an exponential function. Let g(x) be the resulting function when f(x) is shifted down by 5 units. Which of the following properties of f(x) will remain the same for g(x)?

3. Given f(x)  is a logarithmic  function. Let g(x) be the resulting function when f(x) is shifted down by 3 units. Which of the following properties of f(x) will change for g(x) ?

4. 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. Which of the following properties of f(x) will remain the same for g(x) ?

Question 1
Given f(x) is an exponential function. Let g(x) be the resulting
function when f(x) is shifted to the right by 4 units.
Which of the following properties of f(x) will change for g(x) ?
Range
Domain
O yintercept
Horizontal Asymptote
Question 2
Given is an exponential function. Let g(x) be the resulting function
when f(x) is shifted down by 5 units.
Which of the following properties of f(x) will remain the same for g(x)
?
Range
O Horizontal Asymptote
y- intercept.
Domain
Transcribed Image Text:Question 1 Given f(x) is an exponential function. Let g(x) be the resulting function when f(x) is shifted to the right by 4 units. Which of the following properties of f(x) will change for g(x) ? Range Domain O yintercept Horizontal Asymptote Question 2 Given is an exponential function. Let g(x) be the resulting function when f(x) is shifted down by 5 units. Which of the following properties of f(x) will remain the same for g(x) ? Range O Horizontal Asymptote y- intercept. Domain
Question
3
Given f(x) is a logarithmic function. Let g(x) be the resulting
function when f(x) is shifted down by 3 units.
Which of the following properties of f(x) will change for g(x) ?
x intercept
Vertical Asymptote
Range
Domain
Question
4
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.
Which of the following properties of f(x) will remain the same for
g(x) ?
Range
Vertical Asymptote
x- intercept
Domain
Transcribed Image Text:Question 3 Given f(x) is a logarithmic function. Let g(x) be the resulting function when f(x) is shifted down by 3 units. Which of the following properties of f(x) will change for g(x) ? x intercept Vertical Asymptote Range Domain Question 4 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. Which of the following properties of f(x) will remain the same for g(x) ? Range Vertical Asymptote x- intercept Domain
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