22. Writing What do all periodic functions have in common?

23. Think About a Plan A person's pulse rate is the number of times his or her heart beats in one minute. Each cycle in the graph represents one heartbeat. What is the pulse rate?

    
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    • Will you compute the period or the amplitude, or both?
    • Does the graph provide information you do NOT need?
24. Health An electrocardiogram (EKG or ECG) measures the electrical activity of a person's heart in millivolts over time. Refer to the graph in the previous exercise.
    1. What is the period of the EKG shown above?
    2. What is the amplitude of the EKG?
25. Open-Ended Sketch a graph of a periodic function that has a period of 3 and an amplitude of 2.

Find the maximum, minimum, and period of each periodic function. Then copy the graph and sketch two more cycles.

26. 
27. 
28. 
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Language Arts Functions that repeat over time are common in everyday life. The English language has many words that stand for common periods of time. State the period of time from which each term derives.

29. annual
30. biweekly
31. quarterly
32. hourly
33. circadian

C Challenge

34. Suppose g is a periodic function. The period of g is 24, g ( 3 ) = 67 , g open 3 close equals 67 comma  and g ( 8 ) = 70 . g open 8 close equals 70 .  Find each function value.
    1. g ( 27 ) g open 27 close
    2. g ( 80 ) g open 80 close
    3. g ( − 16 ) g open negative 16 close
    4. g ( 51 ) g open 51 close
35. Calendar A day is a basic measure of time. A solar year is about 365.2422 days. We try to keep our calendar in step with the solar year.
    1. If every calendar year has 365 days, by how many days would the calendar year and the solar year differ after 100 years?
    2. If every fourth year has an extra “leap” day added, by how many days would the two systems differ after 100 years?
    3. If every hundred years the “leap” day is omitted, by how many days would the two systems differ after 100 years?
    4. Reasoning Why is it important for the difference between the calendar year and the solar year to be zero?

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