# CCGPS AA 5.2.1 Example 4

- Author:
- Walch Education

- Topic:
- Function Graph

Sketch the graph of the function over the restricted domain .

- Identify the amplitude of the function.
- Determine the period of the function.
- Determine how many cycles of the function can be shown over the domain
. - Determine the values of
at which the maximum and minimum occur over the domain of the cycle given by . - Determine the coordinates of the points for the maximum and minimum values.
- Use the period to determine the coordinates of the maximum and minimum points for the remaining two cycles in the restricted domain of the function.
- Determine the
*y*-intercept of the function. - Use the coordinates found in steps 5–7 to sketch the graph of the function.
- Confirm your sketch using a graphing calculator.

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