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Chapter 5: Q. 42 (page 284)

In Problems 41-52, use transformations to graph each function. Determine the domain, range, and horizontal asymptote of each function.

f(x)=3x-2

Short Answer

Expert verified

The graph is

and the domain and range is (-鈭�,+鈭�),(-2,+鈭�)and the horizontal asymptote isy=-2

Step by step solution

01

Given information

Given functionf(x)=3x-2

02

Transforming and plotting the graph

The graph of 3xis

03

 Shifting down by one unit 

The graph of y=3x-2is

04

Calculate domain, range and asymptote

The domain and range is(-鈭�,+鈭�),(-2,+鈭�)and the horizontal asymptote isy=-2respectively

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