# Average value of a function

- Author:
- ozusaoz

- Topic:
- Calculus

We've been working with functions throughout high school- adding them, subtracting them, multiplying, dividing them, and even composing them- but we've never actually talked about a function's

**average value**... until today! Over an interval of values x = a to x = b, a function can give out a number of different values. With your table partner, please think about this question: How do you think we might define a function's**average value**? For example, if we looked at the function f(x) = x – 1 from x = 1 to x = 5, what might it's**average value**be? Use the sketch below to answer the questions following it in your notebook (part of IW #11).