Chapter 2.2, Problem 18E

### Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Chapter
Section

### Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

# In Exercises 13-18, graph the given function using a chart of values. (Use − 3 ≤ x ≤ 3 .) h ( x ) = − 2 ( 3 − x )

To determine

To graph: The function h(x)=2(3x) using the chart of values in the range 3x3.

Explanation

Given information:

The provided function is:

h(x)=ā2(3āx)

Graph:

Consider the provided function,

h(x)=ā2(3āx)

Substitute x=ā3 in h(x)=ā2(3āx):

h(ā3)=ā2(3ā(ā3))=ā2(33)=ā54

Substitute x=ā2 in h(x)=ā2(3āx):

h(ā2)=ā2(3ā(ā2))=ā2(32)=ā18

Substitute x=ā1 in h(x)=ā2(3āx):

h(ā1)=ā2(3ā(ā1))=ā2(31)=ā6

Substitute x=0 in h(x)=ā2(3āx):

h(0)=ā2(30)=ā2

Substitute x=1 in h(x)=ā2(3āx):

h(1)=ā2(3ā1)

Use the formula bāx=1bx to solve further,

h(1)=ā2(3ā1)=ā231 =ā23 =ā0

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