Consider the function... If inflation is highest at 4.8% and lowest at 1.3%, what is c?

Question

Inflation rises and falls in a cyclical manner. Consider the model  where f(x) represents the change in inflation over time, given by x. If inflation is highest at 4.8% and lowest at 1.3%, what is c?

Grade 12 Advanced Functions (MHF4U)

Please write neatly and clearly.

Answer 1

c would be the midpoint between 4.8% and 1.3%

mid = (high+low)/2

BTW: a = high - mid since the range of sine is [1, -1]