From 11:00PM PDT on Friday, July 1 until 5:00AM PDT on Saturday, July 2, the Shmoop engineering elves will be making tweaks and improvements to the site. That means Shmoop will be unavailable for use during that time. Thanks for your patience!
We have changed our privacy policy. In addition, we use cookies on our website for various purposes. By continuing on our website, you consent to our use of cookies. You can learn about our practices by reading our privacy policy.
© 2016 Shmoop University, Inc. All rights reserved.

Common Core Standards: Math See All Teacher Resources

High School: Functions

Linear, Quadratic, and Exponential Models F-LE.1b

b. Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.

Likewise, show this numerically, so students can see that as x increases by 1, the interval between the two equations is constant for one function, but not the other.

x2x2xInterval for 2xInterval for 2x

As we can see, the linear function increases by a difference of 2 every time. The interval for the exponential function, however, has a much larger difference with every interval (each difference increases by a factor of 2 every time). That's the difference.

Aligned Resources

    More standards from High School: Functions - Linear, Quadratic, and Exponential Models