# polynomial

2. Suppose that f(x) is a polynomial whose critical points are at x = -2, 2, and 4. Values of f'(x), the derivative of f(x) are given in the table below. x -3 -2 0 2 3 4 5 f'(x) 35 0 -16 0 5 0 -21 a) (2 points) Which (if any) of the critical points of f(x) are relative minima of f(x) ? Explain your reasoning X b) (2 points) Which (if any) of the critical points of f(x) are relative maxima of f(x)? Explain your reasoning.

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