For this question, you will be using calculus and algebraic methods to do a complete analysis of the following function and then sketch its graph. f(x) = x³ - 3x² a) Provide the x-intercepts, then the y-intercept. If the y-intercept is the same as one of the x-intercepts, include it anyway. b) Provide the critical points. You must use the second derivative test in your written solutions to show if each point is a local max or local min. c) Provide the intervals of increase and decrease. d) Provide point(s) of inflection. e) Provide intervals of concavity. ex. x<-1(down),-11(down) Sketch the graph of f(x). Label all points. f) provide the positive/negative intervals of your graph. (ex. x<-1(pos),-11(pos))