Question: 1. [K] (4) Suppose that f is a differentiable function with derivative f'(x) = (x -3)(x+ 1)(x + 5). Determine the intervals of x for

1. [K] (4) 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. 2. [C] (2) Explain why a positive value for f'(x) means the graph f (x) is increasing. 3. [T] (4) For f(x) = 2x3 - 3x2 - 12x + 21, find where f'(x) = 0, and the intervals on which the function increases and decreases. 4. [A] (4) 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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