Chapter 2.2, Problem 3E

### 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 ) f ( x ) = 3 − x

To determine

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

 x −3 −2 −1 0 1 2 3 f(x)
Explanation

Given Information:

The function is f(x)=3āx.

The provided table is,

 x ā3 ā2 ā1 0 1 2 3 f(x)

Formula used:

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

bāx=1bx

Calculation:

Consider the provided function,

f(x)=3āx

Substitute x=ā3 in f(x)=3āx:

f(ā3)=3ā(ā3)=33=27

Substitute x=ā2 in f(x)=3āx:

f(ā2)=3ā(ā3)=32=9

Substitute x=ā1 in f(x)=3āx:

f(ā1)=3ā(ā1)=3

Substitute x=0 in f(x)=3āx:

f(0)=30=1

Substitute x=1 in f(x)=3āx:

f(1)=3ā(1)=3ā1

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

f(1)=3ā1=131=13

Substitute

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