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Chapter 5: Q. 50 (page 284)

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

f(x)=1-2x+3

Short Answer

Expert verified

The graph is

and the domain and range is(-鈭�,+鈭�),(-鈭�,1)and the horizontal asymptote isy=1

Step by step solution

01

Given information

Given functionf(x)=1-2x+3

02

Transform and graph

Substituting x=x+3, we get

y=2x+3

The graph is

03

Reflecting about x axis and shifting one unit vertically downwards

The graph is

04

Calculate domain and range

On seeing the graph, the domain and range is(-鈭�,+鈭�),(-鈭�,1)and the horizontal asymptote isy=1

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Most popular questions from this chapter

The domain of a one-to-one functiong is[0,15] , and its range is(0,8). State the domain and the range ofg-1 .

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and verify your results using a graphing utility.

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