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91Ó°ÊÓ

In the following exercises, (a) find the domain of the function (b) graph the function (c) use the graph to determine the range.

g(x)=x+4

Short Answer

Expert verified

(a) Domain isx∈[-4,∞)

(b) Graph is

(c) Range is[0,∞)

Step by step solution

01

part (a) Step 1 Given information  

Domain ofg(x)=x+4

02

part (a) Step 2 Solution

We have

g(x)=x+4x+4≥0x≥-4x∈[-4,∞)

03

part (b) Step 1 Given information  

Graph ofg(x)=x+4

04

part (b) Step 2 Solution

Graph is given by

05

part (c) Step 1 Given information  

Range ofg(x)=x+4

06

part (c) Step 2 Solution

From graph the range is[0,∞)

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