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Find a possible formula for the trigonometric function whose values are in the following table.
x 0 4 8 12 16 20 24
y 3 -1 -5 -1 3 -1 -5
y=
I'm really confused how to figure this question out
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The minimum is -5; the maximum is 3.
Hence, the midline is -1 and the amplitude is 4.
The table dictates to use the cosine function.
The period starts from 0 and ends at 16.
So, the trigonometry function is
y =
.
Here "-1" represents the midline; the factor "4" represents the amplitude; and the factor (x/16) models the 16 units period.
Solved.