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

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Basic Math

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

Explain why a positive value for f\" (x) means the graph f(x) isincreasing

For f(x) = 2x2- − 3x2 − 12x + 21, findwhere f'(x) = 0, and the intervals on which the function increasesand 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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