Chapter 6.3, Problem 21E

To determine

To find:The error & determine the type of function

Answer to Problem 21E

The function is in exponential form.

Explanation of Solution

Given information :

Consecutive data pairs are given.

Concept used:

Use patterns between consecutive data pairs to determine type of function. Linear function: - The difference of consecutive y-values is constant. Exponential function: - Consecutive y-values have a common ratio. In each case, the differences of consecutive x-values need to be constant.

Linear function: - The difference of consecutive y-values is constant. Exponential function: - Consecutive y-values have a common ratio. In each case, the differences of consecutive x-values need to be constant.

Data given

  

Consecutive ‘y’ values have a common ratio and they do not change by a constant amount.

Consecutive y values change by a constant ratio. So, the table represents an exponential form.

Hence,

The function is in exponential form.