Nov. 30 Class

Congratulations on completing the Unit Test!
Here's the next unit:

Sinusoidal Functions

Handouts

• Daily Plan
• Periodic Functions

We started by discussing period functions today.  Those are functions that repeat themselves over and over again.  They describe things from amusement park rides to the changing seasons to sound and even light.

We then looked at various functions and decided if they were periodic or not.  Here are some functions that are periodic:

You can find a regular interval over which the graph repeats. 

If you can find a repeating pattern over a regular interval, then it is periodic.

The red line is the base graph of what we will be sketching this unit. 

The following are NOT periodic:

Not periodic because the intervals are not regular.

Not periodic because the maximum and minimum values change.

Not even a function!

The circle is not a function, but if we were to graph the value of the y coordinate as we move around the circle, we do get a periodic function!  See the GIF below:

How a sine graph can be generated from a circle.

We will learn much more about this graph in the days to come.

Homework: Complete the handout, P. 352  #1–4, 5ab, 6ac, 7–10