The function f has a domain of [0,5] and a range of [0,2]. Start by sketching a potential graph of f Suppose the function g is defined as g(x)=f(x)+6. Determine the domain and range of g Domain: Range:   Suppose the function h is defined as h(x)=3f(x). Determine the domain and range of h   Domain: Range:    Suppose the function j is defined as j(x)=−f(x). Determine the domain and range of j   Domain:    Range:  Suppose the function k is defined as k(x)=f(x−2). Determine the domain and range of k   Domain:    Range:

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 51E
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The function f has a domain of [0,5] and a range of [0,2]. Start by sketching a potential graph of f

Suppose the function g is defined as g(x)=f(x)+6. Determine the domain and range of g

Domain:

Range:

 

Suppose the function h is defined as h(x)=3f(x). Determine the domain and range of h

 

Domain:

Range: 

 

Suppose the function j is defined as j(x)=−f(x). Determine the domain and range of j

 

Domain: 

 

Range: 

Suppose the function k is defined as k(x)=f(x−2). Determine the domain and range of k

 

Domain: 

 

Range:

 

 

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