Consider the curve given by the function 7(zr;2 1) my) 2 3(323 + 2:22 333). Answer the following. If a feature does not apply, then write " NONE". Part(a) ['I mark] : What is the domain of an) ? Part(b) ['I mark] : What are the a: and y coordinates of m-intercept(s) of an) ? Part(c) ['I mark] :What are the a: and y coordinates of yintercept(s) of f(33) ? Part(d) ['I mark] :Write down the equation(s) of vertical asymptote(s), if any. Part(e) [1 mark] : Write down the equation(s) of horizontal: Time left: Show if any. Consider a function f (a) with domain R - {-3,3} such that 14x f' ( ac ) = (202 - 9) 2 and f" (: Compile the following information about f(x) . Show your work to justify your answers to parts (a), (b), (c), (d) and (e). Part(a) [2 marks] : Find the critical number(s) of f and show your work to justify. Part(b) [2 marks] : Find the open interval(s) where f is increasing and the open interval(s) where f is decreasing. Show your work to justify. Part(c) [2 marks] : Find the a coordinate (s) of all local maxima of f, and all local minima of f. Show your work to justify. Part(d) [2 marks] : Find the open intervals where f is conce Time left: Show open intervals where f is concaveUsing the information given below, draw the graph for the function f. For full credit, label all intercepts, maximums, minimums, horizontal and vertical asymptote(s), inflection point (s) . Part(a) : Domain of f : (-00, -1) U(-1, 00) Part(b) : x and y coordinates of x- intercepts of f is : (0, 0) Part(c) : x and y coordinates of y- intercepts of f is : (0, 0) Part(d) : Equation(s) of vertical asymptote(s) is : x = -1 Part(e) : Equation(s) of horizontal asymptote(s) : None Part(f) : Critical number(s) of f are : 0, -3 Part(g) : Open interval(s) where f is increasing : (-0o, -3) Time left: Show Part(h) . Onen interval (s) where f isPart(h) : Open interva|(s) where f is decreasing: (3,1) Part(i) : a: and y coordinates of all local minima of f : None Part(i) : cc and y coordinates of all local maxima of f is: (3, 2) Part(k) : Open interval where f is concave up is: (0, oo) Part(l) : Open intervals where f is concave down are: (00, 1) and (1,0). Part(m) : a: and y coordinates of all inflection point(s) are : (0, 0)