Please show work.

1. Explain how to find the following for the function f(x) = x3 - 9x2 + 15x - 3 And find them using calculus techniques. (a) The open intervals where f(x) is increasing or decreasing. (b) The relative extrema of f (I). 2. For each of the following functions, describe the open intervals where it is concave up or concave down, and any inflection points. (a) f(x) = -425 + 8 x4 + 25 23 (b) f(x) = 1x5+3x4 +1523