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Sinusoidal Functions - PowerPoint PPT Presentation


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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.

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periodic motion
Periodic Motion

Graphs of motion with repeating patterns

your height above ground fluctuates as you ride around on the ferris wheel over time
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
Period:

The interval needed for the function to repeat itself.

cycle
Cycle:

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

slide7
Peak:

The highest point(s) on the graph.

trough
Trough

The lowest point(s) on a graph.

amplitude
Amplitude

The distance (or height) from the center line of the function to the maximum or minimum point.

periodic behavior is everywhere
Periodic behavior is everywhere!
  • Moon phases
  • Tides
  • Temperatures
  • Daylight length
  • Electricity usage
  • Heartbeats
  • Traffic Lights
extrapolating
Extrapolating
  • Estimating a value that is beyond the range of the given data
interpolating
Interpolating
  • Estimating a value that is between elements in given data