# How are polynomial and exponential functions different?

## Question:

How are polynomial and exponential functions different?

## Functions:

There are various types of functions. One such type is exponential functions. Such functions are used to show the fast growth of the dependent variable. They are used in various cases such as when modeling the population of bacteria.

## Answer and Explanation:

The main difference between a polynomial and exponential function is that in a polynomial, the variable is raised to a power. On the other hand, in an exponential function, the variable is the exponent.

For example, consider the two functions {eq}x^2+3 {/eq} and {eq}2^x {/eq}. In the first function (a polynomial), the exponent is {eq}2 {/eq} and the base is {eq}x {/eq} while in the second function (an exponential function), this is reversed.

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from Explorations in Core Math - Algebra 1: Online Textbook Help

Chapter 9 / Lesson 7