Directions: Please answer the following questions on a separate sheet of paper. You must show all work for credit. Upload your solutions to this quiz in the Canvas assighment by the due date. Graph each function using calculus and the guidelines below to find all significant information needed for sketching the graph. . f(x)=2+3x2-x3 9. f(x)=rf_1 Guidelines for Sketching Graphs: (a) Domain of f(x). (b) State any vertical asymptotes, holes, or horizontal asymptotes, if applicable. (c) Find f'(x). (d) Find f"'(x). (e) Determine the intervals where f(x) is increasing and/or decreasing. Write your answer using interval notation. Increasing: Decreasing: (f) Order pairs of any relative extrema. Relative Maximum(s): Relative Minimums(s): (g) Determine the intervals where f(x) is concave up and/or concave down. Write your answer using interval notation. Concave up: Concave down: (h) Order pairs of any inflection points. (i) Graph of f(x)