   Chapter 2.2, Problem 11E 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 ) s ( x ) = 2 x − 1

To determine

To calculate: The unknown values of table for the function s(x)=2x1 also determine the technology formula for the function, table is shown below:

 x −3 −2 −1 0 1 2 3 s(x)
Explanation

Given Information:

The function is s(x)=2x1.

The provided table is,

 x −3 −2 −1 0 1 2 3 s(x)

Formula used:

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

bx=1bx

Calculation:

Consider the provided function,

s(x)=2x1

Substitute x=3 in s(x)=2x1:

s(3)=231=24

Use the formula bx=1bx to solve further,

s(3)=24=124=116

Substitute x=2 in s(x)=2x1:

s(2)=221=23

Use the formula bx=1bx to solve further,

s(2)=23=123=18

Substitute x=1 in s(x)=2x1:

s(1)=211=22

Use the formula bx=1bx to solve further,

s(1)=22=122=14

Substitute x=0 in s(x)

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