# Common Core Standards: Math See All Teacher Resources

#### The Standards

# 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.