Assignment 5 Page 4 4. Consider the following function f(20) = 12 - 4x2 (x - 3) 2 [2] (a) Find the x- and y- intercepts of the graph of f(x), if any [4] (b) Find the vertical asymptotes of the graph f(x), if any. Clearly indicate the limits you use to find them. [4] (c) Find the horizontal asymptotes of the graph f(x), if any. Clearly indicate the limits you use to find them.Assignment 5 Page 6 [4] (f) Sketch the graph of f(x) and the axes provided. Label your graph carefully. [44] MATH 1000 Assignment 5Assignment 5 Page 5 [4] (d) Determine the intervals on which f(x) is increasing or decreasing, and classify any relative (local) extrema. [4] (e) Determine the intervals on which f(x) is concave upward or concave downward, and identify any points of inflection. Assignment 5 MATH 1000