Problem 2- Graphing with Calculus Given f(x)= x 2
+9
24x
​
, follow the steps given below to obtain a detailed graph of the function. a) Find the Domain of f. b) Find the y-intercept of the graph. c) Find the x-intercept(s) of the graph. d) Find the Vertical and Horizontal Asymptotes, if they exist. e) Find the Local Maximum and Local Minimum Point(s). (Support your answer with a First Derivative test or a Second Derivative Test) f) Find the Inflection Point(s). (Support your answer with a the concavity test) g) Sketch the graph: You may check your answers by graphing this function on a graphing calculator. Your task for the presentation is to demonstrate how to get those answers algebraically.