sinusoidal functions

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Sinusoidal Functions. Chapter 6. Periodic Motion. Graphs of motion with repeating patterns. Think of yourself on a Ferris Wheel. Your height above ground fluctuates as you ride around on the Ferris Wheel over time. This is periodic motion that repeats itself at equal intervals of time. - PowerPoint PPT Presentation

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Sinusoidal Functions

Sinusoidal FunctionsChapter 6Periodic MotionGraphs of motion with repeating patterns

Think of yourself on a Ferris Wheel

Your height above ground fluctuates as you ride around on the Ferris Wheel over time

This is periodic motion that repeats itself at equal intervals of time. Period:

The interval needed for the function to repeat itself.Cycle:

One period is one cycle. Cycles repeat themselves over and over.Peak:

The highest point(s) on the graph.Trough

The lowest point(s) on a graph.Amplitude

The distance (or height) from the center line of the function to the maximum or minimum point. Periodic behavior is everywhere!Moon phasesTidesTemperaturesDaylight lengthElectricity usageHeartbeatsTraffic Lights

Which graphs are periodic functions?

What is the period of this graph?

What is the amplitude of this graph?

Where are the peaks and troughs?

What is the period and amplitude?

Extrapolating

Estimating a value that is beyond the range of the given dataInterpolatingEstimating a value that is between elements in given data

A few questions to try...Pg 331 # 5,6

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