Given: f(x)=2x+3  Identify the Domain and Range of f(x). D = {x| ___________________} R = {y| ___________________} Ran the Vertical Line Test (VLT) and Horizontal Line Test (HLT) for f(x).and interpret the results. [1] Vertical Line Test Horizontal Line Test

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
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Given: f(x)=2x+3

  •  Identify the Domain and Range of f(x).

D = {x| ___________________}

R = {y| ___________________}

  • Ran the Vertical Line Test (VLT) and Horizontal Line Test (HLT) for f(x).and interpret the results. [1]

Vertical Line Test

Horizontal Line Test

 

 

 

 

 

 

 

Interpretation:

Interpretation:

  • Represent the given function f(x) using verbal, numerical, and visual techniques.

Verbal Representation:

 

Numerical Representation:                                                       

x

f(x)

3

 

2

 

1

 

0

 

-1

 

-2

 

-3

 

Visual Representation (Graph):

 
  • Perform the given operation and simplify the answer. [2] [3]

Given: f(x)=2x+3 and g(x)=6x-4/2

  1. f(x)+g(x)
     
                                                                                       
  2. g(x)-f(x)
 
  • Find the composite function f ∘ g if the given are f(x)=2x+3 and g(x)=6x-4/2. [3]

 

 

Determine the Inverse of function f(x). [3]

 

 

 

 

 

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