1. [Final, Sp2020] Suppose we know that the derivative of a function is f'(x) = 3x2 -6x -9 and that f(1) =0. Use this information to answer the following questions. a) Find an equation of the line tangent to the graph of f at r = 1. b) Find the critical numbers of f. c) Where does f have a local minimum value? local maximum value? d) Calculate f(0). 2. Find all critical and inflection points, intervals of increase/ decrease, concavity, and asymptotic behavior for each function. Then sketch the graph. b) y= =(4-x) - 3lx