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Chapter 5: Q. 41 (page 284)

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

y=2x+1

Short Answer

Expert verified

The graph is

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

Step by step solution

01

Given information

Given the functionf(x)=2x+1

02

Step 2:Transforming and plotting the graph

The graph of y=2xis

03

Shifting up by one unit

The graph is

04

Calculate domain, range and asymptote

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

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