f(a) = 323 - 9x. Instructions: If you are asked to find x- or y-values, enter either a number, a list of numbers separated by commas, or None if there aren't any solutions. Use interval notation if you are asked to find an interval or union of intervals, and enter { } if the interval is empty. A function is increasing if larger x-values give larger y-values. A function is decreasing if larger x-values give smaller y-values. (a) Find the critical points of f, where it is increasing and decreasing, and its local extrema. Critical points a = Increasing on the interval Decreasing on the interval Local maxima * = Local minima a = (b) Find where f is concave up, concave down, and has inflection points. Concave up on the interval Concave down on the interval Inflection points x = (c) The function f is ? because ? for all a in the domain of f. (d) Sketch a graph of the function f without having a graphing calculator do it for you. Plot the y-intercept and the a-intercepts, if they are known. Draw dashed lines for horizontal and vertical asymptotes. Plot the points where f has local maxima, local minima, and inflection points. Use what you know from parts (a) and (b) to sketch the remaining parts of the graph of f. Use any symmetry from part (c) to your advantage. Sketching graphs is an important skill that takes practice, and you may be asked to do it on exams.Consider the function f(ac) = e(-x2+3x) a) List all the critical values of f(). Note: Give your answer as a comma separated list eg. "1,2,3" without quotes. If there are no critical values, enter 'NONE'. b) Use interval notation to indicate where f (@ ) is increasing. Note. Use 'INF' for co, '-INF' for -co, and use 'U' for the union symbol. Increasing: c) Use interval notation to indicate where f (x ) is decreasing. Note. Use 'INF' for oo, '-INF' for -co, and use 'U' for the union symbol. Decreasing: d) List the x values of all local maxima of f(x). Note: Give your answer as a comma separated list eg. "1,2,3" without quotes. If there are no critical values, enter 'NONE'. a values of local maxima = e) List the a values of all local mimima of f(). Note: Give your answer as a comma separated list eg. "1,2,3" without quotes. If there are no critical values, enter 'NONE'. a values of local minima = () List the a values of all the inflection points of f. If there are no inflection points, enter 'NONE'. x values of inflection points = g) Use interval notation to indicate where f (x) is concave up. Concave up: h) Use interval notation to indicate where f(x) is concave down. Concave down