(1) Let f (x) =x3 +5x2+3x-9 (a) Find the domain of f (x) b) Find the x-intercepts and y-intercepts (if any) (c) Find f' (x) (d) Find the critical values of f (x) Find the intervals in which f(x) is decreasing and increasing (f) Locate the Local Extrema (Local Max and Min) Find f" (x) h) Find the intervals in which f(x) is concave upward and concave downward (i) Locate the Inflection Point(s) j) Sketch the graph of f(x) using the information you collected in the steps above