   Chapter 2.2, Problem 8E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

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

In Exercises 1-12, compute the missing values in the following table, and supply a valid technology formula for the given function: [HINT: See Quick Examples 1-4.] x –3 –2 –1 0 1 2 3 f ( x ) h ( x ) = − 2 ( 3 − x )

To determine

To calculate: The unknown values of table for the function h(x)=2(3x) also determine the technology formula for the function, table is shown below:

 x −3 −2 −1 0 1 2 3 h(x)
Explanation

Given Information:

The function is h(x)=2(3x).

The provided table is,

 x −3 −2 −1 0 1 2 3 h(x)

Formula used:

Inverse of an exponential function for any x and b is given by:

bx=1bx

Calculation:

Consider the provided function,

h(x)=2(3x)

Substitute x=3 in h(x)=2(3x):

h(3)=2(3(3))=2(33)=54

Substitute x=2 in h(x)=2(3x):

h(2)=2(3(2))=2(32)=18

Substitute x=1 in h(x)=2(3x):

h(1)=2(3(1))=2(31)=6

Substitute x=0 in h(x)=2(3x):

h(0)=2(30)=2

Substitute x=1 in h(x)=2(3x):

h(1)=2(31)

Use the formula bx=1bx to solve further,

f(1)=2(31)=231

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