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Sinusoidal Functions

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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Sinusoidal Functions

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  1. Sinusoidal Functions Chapter 6

  2. Periodic Motion Graphs of motion with repeating patterns

  3. Think of yourself on a Ferris Wheel

  4. 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.

  5. Period: The interval needed for the function to repeat itself.

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

  7. Peak: The highest point(s) on the graph.

  8. Trough The lowest point(s) on a graph.

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

  10. Periodic behavior is everywhere! • Moon phases • Tides • Temperatures • Daylight length • Electricity usage • Heartbeats • Traffic Lights

  11. Which graphs are periodic functions?

  12. What is the period of this graph?

  13. What is the amplitude of this graph?

  14. Where are the peaks and troughs?

  15. What is the period and amplitude?

  16. Extrapolating • Estimating a value that is beyond the range of the given data

  17. Interpolating • Estimating a value that is between elements in given data

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

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