Question

For the function y=-3+4cos(5π/6 (x+4)), what is the maximum value?

Answer 1

Is this a calculus problem or just algebra? The approaches are different.

Answer 2

Consider that cosine is a value that varies between -1 and 1. You have a multiplier of 4 so that range now varies from -4 to 4. The point cycles around the -3 so the range is -7 to -1. The maximum value will be -1. As malevolence mentions you'd need more proof for a calculus answer, i.e. a derivative.

Answer 3

1

Answer 4

-3+4=1. My bad. Off afternoon ;)