Question

13. The function y=16 cos(x)+k has a minimum value of -4. What is its maximum value? Explain.

Answer 1

It's maximum value is 28.

Explanation:

Cosine function:

The cosine function has the following format:

`f(x) = Acos(x)`

The difference between the maximum and minimum point is 2A.

y=16 cos(x)+k

A = 16, so 2A = 32.

Minimum value of -4. What is its maximum value?

`M - (-4) = 32`

`M + 4 = 32`

`M = 32 - 4 = 28`

It's maximum value is 28.