Sinusoidal Functions
description
Transcript of Sinusoidal Functions
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Sinusoidal Functions
Chapter 6
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Periodic Motion
Graphs of motion with repeating patterns
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Think of yourself on a Ferris Wheel
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Your height above ground fluctuates as you ride around on the Ferris Wheel over timeThis is periodic motion that repeats itself at equal intervals of time.
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Period:The interval needed for the function to repeat itself.
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Cycle:One period is one cycle. Cycles repeat themselves over and over.
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Peak:The highest point(s) on the graph.
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TroughThe lowest point(s) on a graph.
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AmplitudeThe distance (or height) from the center line of the function to the maximum or minimum point.
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Periodic behavior is everywhere!
• Moon phases• Tides• Temperatures• Daylight length• Electricity usage• Heartbeats• Traffic Lights
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Which graphs are periodic functions?
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What is the period of this graph?
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What is the amplitude of this graph?
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Where are the peaks and troughs?
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What is the period and amplitude?
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Extrapolating
• Estimating a value that is beyond the range of the given data
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Interpolating
• Estimating a value that is between elements in given data
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A few questions to try...
• Pg 331 # 5,6