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.1c

c. Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.

Students should also know when to apply exponential functions and when to apply linear functions. As we can see, linear functions are all about constant growth. The y values change a constant amount for every x value, and that's it. End of story.

Exponential functions, on the other hand, love extremes. They can get crazy-big or crazy-small, but the key is that it happens crazy-fast. Their growth is always increasing (or decreasing, when the base is less than 1). Exponential functions are useful in describing things like bacterial growth and radioactive decay.

Aligned Resources

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