Identify a function f that has the given characteristics. f(–5) = f(2) = 0;  f '(-1.5) = 0,  f '(x) < 0 for x < -1.5;  f '(x) > 0 for x > -1.5

Find the absolute maximum and minimum value of the function  f(x) = x / 49 + x^2

The graph of f(x) is shown on the interval -5sxs5. -5 Determine whether each is less than, greater than or equal to 0. Assume f is twice differentiable. f(x) f'(x) f"(x)

For the function given, find all x-values where f' (x) > 0. f (x) = x^3 - 75x -8