CCSS IP Math III 4A.3.2 Example 4

Sketch the graph of the function over the restricted domain .
  1. Identify the amplitude of the function.
  2. Determine the period of the function.
  3. Determine how many cycles of the function can be shown over the domain .
  4. Determine the values of at which the maximum and minimum occur over the domain of the cycle given by .
  5. Determine the coordinates of the points for the maximum and minimum values determined in step 4.
  6. Use the results from step 5 to sketch the graph of over the restricted domain .
  7. Confirm your sketch using a graphing calculator.
This applet is provided by Walch Education as supplemental material for the CCSS Integrated Pathway: Mathematics III program. Visit for more information on our resources.