I need solve this assignment . this calculus i

(b) Find the values of a and b so that the function f(x) = x2 + ax + b has a local maximum at the point (-3,2). Question 2 (40 Points) Consider the function f(x) = X x2+1 (a) Find the intercepts of the graph of f (if any). (b) Find the intervals on which f is increasing or decreasing and the local extreme values of f. (c) Find the intervals of concavity and the points of inflection of f. (d) Sketch the graph of f