Consider the function below. f(x) = -4x2 + 8x + 9 (a) Find the critical numbers of f. (Enter your answers as a comma- separated list.) (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.) (-0, 3) increasing (3, 0) decreasing (c) Apply the First Derivative Test to identify the relative extrema. (If an answer does not exist, enter DNE.) dne (х, у) %3D relative minimum х) 3, 13 (х, у) %3D relative maximum

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