LESSON 4 – COMPARING SINUSOIDAL FUNCTIONS
Recall: Graph the function f(x) = sinx
SINUSOIDAL FUNCTION
 A type of periodic function created by f(x) = sinx
 Can be used as models to solve problems involving circular or oscillating motion at a constant speed. Ex:
Ferris wheel, waves, bat wings.
Example:
Two Ferris Wheels are at a country fair. Answer the following questions for each of the
following graphs:
Fill in the blanks for each graph:
Ferris wheel A
Ferris Wheel B
Equation of the axis: _______
Equation of the axis: ________
Period:
Period: _______
_______
Amplitude: ____
Amplitude: _____
a) How do the ferris wheels relate to these sinusoidal graphs?
b) State the diameter and radius for each.
c) Determine the speed of each wheel. Which ferris wheel is scarier?
d) On the graph of Ferris Wheel B, sketch the graph of Ferris Wheel C: radius of 5m, whose axle is 6m above
the ground , and rotates once every 30 seconds.
Example: Steve and Monique are swinging on separate swings beside a school. The lengths of the ropes on each
swing differ. Their distances from one wall of the school in terms of time can be modelled by the graph
shown.
a) Compare the two curves. Refer to the periods, amplitudes, and the equation of axes.
b) Compare Quentin’s motion of the swing to Jamie’s motion
c) State the range of each function.
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