Consider The Function: F(X) = X3 -6x2 +15 A. Find The Critical Number/S Of F, If They Exist. Find The Open Intervals On Which The Function Is Increasing Or Decreasing. Find The Points At Which All Relative Extrema Are Located. Be Sure To Indicate Whether Each Extrema Is A Relative Maximum Or A Relative Minimum. Give Your Final Answer As Points In The

 

(15 points) Consider the function: f(x)=x-6x+15 a. Find the critical number/s of f, if they exist. b. Find the open intervals on which the function is increasing or decreasing. c. Find the points at which all relative extrema are located. Be sure to indicate whether each extrema is a relative maximum or a relative minimum. Give your final answer as points in the plane.