Videos and lessons to help High School students observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.

- Use a table to observe that exponential functions grow more quickly than quadratic functions.
- Use a graph to observe that exponential functions grow more quickly than quadratic functions.

Common Core: HSF-LE.A.3

Related Topics:

Common
Core (Functions)

Common Core
for Mathematics

Compare polynomial and exponential growth - F-LE.3

In this lesson, you will learn you will learn to compare polynomial and exponential growth by observing function values in tables and graphs.

Comparing and contrasting Exponential and Linear Functions

In order to see the trends of linear, polynomial and exponential functions, try out the following Function Plotter.

Enter in these values:

f1(x) = x^4

f2(x) = 4^x

f3(x) = 40x

for x = 1.5

to x = 5

You should be able to see that the exponential function will eventually exceed the linear and polynomial functions.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.