Exercise 7 Page 893

Before sketching the graph, let's recall three key concepts that we must understand when dealing with periodic functions.

Concept	Definition
Period	The horizontal length of one cycle.
Midline	The horizontal line midway between the maximum and minimum values.
Amplitude	The distance to the midline from the maximum and minimum values. It measures the amount of variation in the function values.

We are given the period, amplitude, and midline of a graph. With the given information, we know that the horizontal length of a cycle is $2$ and that the midline occurs at $y=1.$ Also, we know that the distance between the midline and the maximum and minimum values of the function is $4.$