This question deal with derivatives and interpreting their meaning in dif- ferent contexts. (a) (Conceptual Question - 10 pts) Suppose you know the following information about a function: i. f (1) = 2, f (3) = 6, f (1) = 0, f (3) = 0 ii. f (x) < 0 when x < 1 iii. f (x) > 0 when 1 < x < 3 iv. f (x) < 0 when x > 6 Graph what f looks like based on this information. Explain how you got the graph by interpreting what it means for f'(x) to be greater than 0, less than 0, and equal to 0. (b) (Computational portion - 10 pts) The cost (in hundreds of dollars) of producing x smart phones is given by C(x) = 900 + 5x2 + 4x + 200 i. In the context of this problem, what is the domain of C(x)? ii. Find the marginal cost function. iii. Find and interpret C(200)