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Chapter 5: Q. 44 (page 284)

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

f(x)=2x+2

Short Answer

Expert verified

The graph is

and the domain and range is(-鈭�,+鈭�),(0,+鈭�)and the horizontal asymptote isy=0

Step by step solution

01

Given information

Given functionf(x)=2x+2

02

Transforming and plotting the graph 

The graph of 2xis

03

Move the graph by two units and plot

The graph of f(x)=2x+2is

04

Calculate domain, range and asymptote

From the graph, the domain and range is (-鈭�,+鈭�),(0,+鈭�)and the horizontal asymptote isy=0

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