Chapter 2.2, Problem 11E

### 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 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)=2xā1.

The provided table is,

 x ā3 ā2 ā1 0 1 2 3 s(x)

Formula used:

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

bāx=1bx

Calculation:

Consider the provided function,

s(x)=2xā1

Substitute x=ā3 in s(x)=2xā1:

s(ā3)=2ā3ā1=2ā4

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

s(ā3)=2ā4=124=116

Substitute x=ā2 in s(x)=2xā1:

s(ā2)=2ā2ā1=2ā3

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

s(ā2)=2ā3=123=18

Substitute x=ā1 in s(x)=2xā1:

s(ā1)=2ā1ā1=2ā2

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

s(ā1)=2ā2=122=14

Substitute x=0 in s(x)

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