What do these situations have in common Explain

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What do these situations have in common? Explain.

What do these situations have in common? Explain.

Periodic Functions and Trigonometry Unit Objectives: • Determine exact values for trigonometric functions: with

Periodic Functions and Trigonometry Unit Objectives: • Determine exact values for trigonometric functions: with and without a calculator • Write and graph trigonometric functions • Find amplitude, period, maximums, minimums and phase shifts for periodic functions • Model problems using trigonometric functions Today’s Objective: I can find a cycle, period and amplitude of periodic function.

What do these situations have in common? Explain Periodic Function: A function that repeats

What do these situations have in common? Explain Periodic Function: A function that repeats a pattern of outputs (y-values) at regular intervals Cycle: Period: One complete pattern Horizontal length of a cycle – distance along x-axis

One cycle: or Period: One cycle Period:

One cycle: or Period: One cycle Period:

Determine whether function is periodic. If so identify one cycle and determine the period.

Determine whether function is periodic. If so identify one cycle and determine the period. Not Periodic One cycle Period: Not Periodic

Maximum Midline Minimum Midline: Horizontal line midway between maximum and minimum values Amplitude: Half

Maximum Midline Minimum Midline: Horizontal line midway between maximum and minimum values Amplitude: Half the difference between maximum and minimum

What is the period, the amplitude and the equation of the midline for each

What is the period, the amplitude and the equation of the midline for each sound wave displayed below. One cycle: Period: Midline: Amplitude: One cycle: Period: Midline: Pg. 832 #7 -25 odd, 35, 36 Amplitude: