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Chapter 5: Q. 51 (page 284)

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

f(x)=2+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)=2+3x/2

02

Transform and graph

Substituting x=x2, the graph is

03

Shifting two units vertically upwards

The graph is

04

Calculate the domain and range

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

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