Consider the following function. y= + -2x+8 3 2 (a) Find y' f'(x). f'(x) = x²+x-2 (b) Find the critical values. (Enter your answers as a comma-separated list.) x= -2,1 (c) Find the critical points. (x, y) = (-2, 34 3 (smaller x-value) - (x, y) = (1, 41 6 (larger x-value) (d) Find intervals of x-values where the function is increasing. (Enter your answer using interval notation.) (1,00) × Find intervals of x-values where the function is decreasing. (Enter your answer using interval notation.) (-2,1) (e) Classify the critical points as relative maxima, relative minima, or horizontal points of inflection. In each case, check your conclusions with a graphing utility. (If an answer does not exist, enter DNE.) relative maxima (x, y) = (-2, 34 3 relative minima (x, y) = horizontal points of inflection xxn-( 1, 41

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