# Rate of change - constant or accelerating

- Author:
- Judah L Schwartz

Some functions change at a

*rate as x gets larger. Some functions change***constant***as x gets larger. Some functions change***faster and faster***as x gets larger. Here are some possible categories of functions and their rates of change as x gets larger - functions that***slower and slower***and their rates of change***increase***functions that***increase***and their rates of change***increase***functions that***decrease***and their rates of change***decrease***functions that***increase***and their rates of***decrease***Give an example of a function that fits in each category. Are there functions that fit in***change decrease***of these categories? Example, or why not? Are there functions that fit in***NONE***of these categories? Example, or why not? Does every possible function fit into at least one of these categories? Why, or why not?***MORE THAN ONE****What questions could / would you ask your students based on this applet?**.