Chapter 6.2, Problem 2E

To determine

To tell whether the function given represents exponential growth of exponential decaf.

Answer to Problem 2E

Yes, the function $f\left(x\right)=\frac{1}{3}{e}^{4x}$ represents exponential growth of exponential decaf.

Explanation of Solution

Given information:

Consider the given expression,

  $f\left(x\right)=\frac{1}{3}{e}^{4x}$

Formula used:

Exponential functions are in the form $y=a{b}^x$

CALCULATION:

If a positive and $b$ is greater than $1,$ then it is exponential growth. If a positive and $b$ is less than $1$ but greater than $0,$ then it is exponential dicaf.