5x 3. Let f(x) = - -22 + 3 . To speed up your calculations, the derivatives are provided: f' (20 ) = 5(3 - 202) 10x(x2 - 9) (202 + 3) 2 f" (20) = (202 + 3) 3 (a) What is the domain of f? (b) What are the vertical asymptotes and horizontal asymptotes of f? (c) On what intervals is f increasing? decreasing? (d) On what intervals is f concave up? concave down? (e) At what point(s) does f have a local maximum? local minimum? inflection? (f) Sketch the graph of f noting the above infor