Suppose a sinusoidal function f(x) is given, with the following values defined: ao is the minimum value of f(x), a is the maximum value of f(x), and bo, b satisfy that f is increasing on the interval [bo, b] and f(bo) =ao, f(b) = a. In the following parts, your answer should be in terms of some of a0, a1, bo, b. (a) (3 points) What is the amplitude of f(x)? (b) (2 points) What is its average value? (c) (3 points) What is the period of f(x)? (d) (2 points) Give a formula for f(x).