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Chapter 5: Q. 32 (page 283)

determine whether the given function is linear, exponential, or neither. For those that are linear functions, find a linear

function that models the data; for those that are exponential, find an exponential function that models the data.

xF(x)
-112
014
118
2116
3132

Short Answer

Expert verified

This is not a linear but exponential function where

g(x)=1412x

Step by step solution

01

Step 1. Given

A table with values of x,f(x)to trace the function.

02

Step 2. Write the concept

We will check for domain and range that will gives us a clue about exponentiality or linearity of the function.

03

Step 3. Calculation

Here the change in domain is just 1 unit but change in range is of higher order.

Also the change is not constant therefore, it is not linear.

For exponential function we choose a value from domain i.e. 1&-1but the values at this domain is reciprocal of each other therefore, it is exponential.

Consider

g(x)=cax=1412x

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Most popular questions from this chapter

Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in red.

Solve:

x2+3x=4x

solve each equation

92x27x2=3-1

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the function f is one-to-one. Find its inverse and check your answer.

f(x)=x2-42x2x>0

In Problems 61鈥�72, the function f is one-to-one. Find its inverse and check your answer.

f(x)=2x3x-1
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