1. [-I6 Points] DETAILS SCALCET9 4.3.005. The graph of the derivative f' of a function fis shown. (a) On what intervals is fincreasing? (Enter your answer using interval notation.) E On what intervals is fdecreasing? (Enter your answer using interval notation.) S (b) At what values of x does f have a local maximum or local minimum? (Enter your answers as a comma-separated list.) The graph of the first derivative f' of a function f is shown. (Assume the function is defined only for 0 s x 5 9.) y 1 y = f(x) (a) On what interval(s) is f increasing? (Enter your answer using interval notation.) (b) At what value(s) of x does f have a local maximum? (Enter your answers as a comma-separated list.) X = At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.) X = (c) On what interval(s) is f concave upward? (Enter your answer using interval notation.) On what interval(s) is f concave downward? (Enter your answer using interval notation.) (d) What are the x-coordinate(s) of the inflection point of f? (Enter your answers as a comma-separated list. )3. [-16 Points] DETAILS SCALCET9 4.3.009. Consider the following. (If an answer does not exist, enter DNE.) f(x) = 2x3 15x2 + 36X 5 (a) Find the interval(s) on which fis increasing. (Enter your answer using interval notation.) S (b) Find the interval(s) on which fis decreasing. (Enter your answer using interval notation.) S (c) Find the local minimum and maximum value of f. local minimum value |:| local maximum value |:| 4. [-/6 Points] DETAILS SCALCET9 4.3.017. Consider the following. (If an answer does not exist, enter DNE.) f(x) = x3 - 3x2 - 8x + 3 Find the interval(s) on which f is concave up. (Enter your answer using interval notation.) Find the interval(s) on which f is concave down. (Enter your answer using interval notation.) Find the inflection point of f. ( x, y) =Consider the equation below. (If an answer does not exist, enter DN E.) X 2 f(x)= X +9 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) E Find the interval on which f is decreasing. (Enter your answer using interval notation.) S (b) Find the local maximum and minimum values of 1'. local minimum value |:| local maximum value |:| (c) Find the inflection points. (Order your answers from smallest to largest X, then from smallest to largest y.) m= w= m= Find the interval on which f is concave up. (Enter your answer using interval notation.) E Find the interval on which f is concave down.(Enter your answer using interval notation.)