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1Sinusoidal Functions.notebook
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Unit 3Sinusoidal Functions
Oct 279:41 AM
Types of FunctionsLinear:
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Absolute Value
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Quadratic
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Sinusoidal Function
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Domain/Range
Domain: the set of possible x-valuesRange: the set of possible y-values
Workbook page 70
Function:
Oct 2810:17 AM
Periodic BehaviourAny function is called periodic if it “repeats” itself on intervals of any fixed length. For example the sine curve.
Oct 2810:20 AM
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A special type of periodic function is called a sinusoidal function.
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How to Determine if a Function is Sinusoidal
A sinusoidal graph has:1. Only one maximum and one minimum in each periodic
interval.
2. A sinusoidal axis (a horizontal line halfway between the maximum and the minimum).
3. A common amplitude value (the distance from the sinusoidal axis to the maximum or minimum).
sinusoidal axis
maximum
minimum minimum
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Is this graph periodic and sinusoidal?Explain.
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Is this graph periodic and sinusoidal?Explain.
Oct 279:47 AM
Is this graph periodic and sinusoidal?Explain.
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Is this graph periodic and sinusoidal?Explain.
Nov 12:58 PM
Is this graph periodic and sinusoidal?Explain.
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Is this graph periodic and sinusoidal?Explain.
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Page 72 Workbook
The motion of a Ferris wheel can be represented by a sinusoidal function.
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Identify and label the key characteristics of this graph.
Oct 311:08 PM
Remember : velocity = distance ÷ time
distance around a wheel = 2πr (circumference of a circle)
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Maximum Height
Minimum Height
Revolution
Axle Height
Radius
Oct 311:12 PM
Maximum Height
Minimum Height
Revolution
Axle Height
Radius
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