Chapter 11.2, Problem 3CFU

To determine

To write:about the exponential function represents the exponential growth or exponential decay.

Answer to Problem 3CFU

Exponential is bigger than 1, thenexponential growth and when exponential is in between 1 and 0 thenexponential decay.

Explanation of Solution

Given:

Theexponential function represents the exponential growth or exponential decay.

Calculation:

According to the question, exponential function represents the exponential growth or exponential decay by considering the value of the bases:

When the base of our exponential is bigger than 1, then the equation represents the exponential growth.

When the base of our exponential is in between 1 and 0 then the equation represents exponential decay.

Hence,exponential is bigger than 1, thenexponential growth and when exponential is in between 1 and 0 thenexponential decay.

For examples,

Exponential growth: $y=4^x$

Exponential decay: $y={\left(0.2\right)}^x$