ASK YOUR TEACHERConsider the function below. f(x) = −2x2 + 12x + 2(a) Find the critical numbers of f. (Enter your answers as a comma-separated list.)x = (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answer using interval notation. If an answer does not exist, enter DNE.)increasing decreasing (c) Apply the First Derivative Test to identify the relative extrema. (If an answer does not exist, enter DNE.)relative minimum (x, y) = relative maximu