1 The graph of f'(z) is given. If possible, determine the sign of each of the following values. If not possible, explain why not. (a) (1) (b) f'(1) (c) f(1) Find and classify all critical numbers of f(#) = 2 cos (f) cos (20) on the interval [0, 27]. Consider the function f(z) = z'/*(z +4). Determine intervals where the function is increasing, decreasing, concave up, concave down, critical numbers, relative extrema, and points of inflection. USE THIS INFORMATION: oy Hz+1) f (:'E} - 319."3 -2 Let f(z) = 2* + az + bz + c where a, b, and are constants with a > 0 and b > 0. (@) Over what intervals is f concave up? Concave down? (b) Does f have an infelection point? If so, where (at what z-value)? (c) Given that (0, 2) is the inflection point of f, compute a and and then show that f has no critical point. Consider g(z) = 3,/z z. (@) Find any relative extrema of the function. (b) Find the absolute extrema for the function on the interval [0, 9]