   Chapter 2.2, Problem 5E 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 ) g ( x ) = 2 ( 2 x )

To determine

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

 x −3 −2 −1 0 1 2 3 g(x)
Explanation

Given Information:

The function is g(x)=2(2x).

The table is,

 x −3 −2 −1 0 1 2 3 g(x)

Formula used:

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

bx=1bx

Calculation:

Consider the provided function,

g(x)=2(2x)

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

g(3)=2(23)

Use the formula bx=1bx to solve further,

g(3)=2(23)=223=122=14

Substitute x=2 in the function g(x)=2(2x).

g(2)=2(22)

Use the formula bx=1bx to solve further,

g(2)=2(22)=222=12

Substitute x=1 in the function g(x)=2(2x)

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