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In: Math

Suppose that f is a differentiable function with derivative f" (x) = (x − 3)(x +...

Suppose that f is a differentiable function with derivative f" (x) = (x − 3)(x + 1)(x + 5). Determine the intervals of x for which the function of f is increasing and decreasing

Explain why a positive value for f" (x) means the graph f(x) is increasing

For f(x) = 2x2- − 3x2 − 12x + 21, find where f'(x) = 0, and the intervals on which the function increases and decreases

Determine the values of a, b, and c such that the graph of y = ax2. + bx + c has a relative maximum at (3, 12) and has a y-intercept at 1.

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