2. Given: f(x) = 6(x2-3) f'(x) = -6x4+54 f"(x) = 12x2-216 73 x4 75 a) [K3] Determine all asymptotes and intercepts of the graph of f (x). b) [K2] Use the first derivative test with an interval table to determine where f (x) is increasing / decreasing. Then identify any local maxima/minima. Local maxima (if any): Local minima (if any):c) [A3] Use the second derivative test with an interval table to determine where f (x) is concave up / down. Then identify any point(s) of inflection. You may round to two decimal places. Point(s) of inflection (if any): d) [A2] Use the information from above to sketch the graph of f (x). Label all important points and key features. y X - 4 - 3 -2 2 - w +