Students will be using the concept of a limit to investigate piecewise functions. This is an introduction into continuity. They will also be introduced to the concept of the average value of a function. Students can graph this with or without a calculator, but this problem comes from the NON-graphing calculator section of the AP exam. Students should be able to graph these functions without the use of a graphing calculator. It is essential that they know the value of sin x and e^x (especially when x = 0).
Length of time needed: 1 class period (60 minutes)
This lesson was written by Lana Golembeski.
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Source: Lana Golembeski