2. Consider the function f(x)- 9 - r2 (a) Find the critical points. (b) On what intervals is f is increasing? Decreasing? Include a sign diagram as part of your answer. c) On what intervals is f is concave up? Concave down? Include a sign diagram as part of your answer. (d) Identify the a-coordinates of any local maxima, minima, and inflection points. (e) Compute any pertinent limits. (f) Sketch f(x).