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X Ax) f'(x) g(x) g '(x) 6 -2 1 10 2 4 -8 12 -9 1 -3 3 2 4 -2 -8 -4 The functions

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X Ax) f'(x) g(x) g '(x) 6 -2 1 10 2 4 -8 12 -9 1 -3 3 2 4 -2 -8 -4 The functions f and g are twice-differentiable for all real numbers and have continuous second derivatives. The graph of f is strictly decreasing. The values of f, f', g, and g ' for selected values of x are shown in the table above. Let h be the function given by h(x) = f(x) - g(x). a) Explain why there must be a value a for 1

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