Question

Identify the maximum and minimum values of the function y = 8 COS X in the interval (-211, 21). Use your understanding of transformations not your graphing
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Answer 1

Answer:

max = 8

min = -8

Step-by-step explanation:

Sinusoidal functions take the form of

  y(x) = Acos(ωx + Ф) + k

where A is the amplitude.

k is your vertical shift.

Ф is your phase shift (horizontal shift).

In your case, you have

y = 8cos(x)

y = 8cos(x + 0) + 0

your amplitude is 8 and you're not shifting, so you max and min is just the positive and negative value of your amplitude.