Find the absolute maximum value and the absolute minimum value of the function on the given interval. Remember to show that you checked ALL the candidates. 1. f(x) = -xz+ 3x, [0,3] 2. f(x) = x - 12x, [0, 4] 3. f(x) = 3x3 - 2x, [-1,1] 4. f(x) = cos nx, [0,4]The graph of f , the derivative of f, is shown for each problem. At what x-value does f have an absolute maximum and absolute minimum? 1. 2. f' ( x ) laty- f ( x) -3 FX -3 Absolute max Absolute max Absolute min Absolute min 3 4. Absolute Max Absolute Max Absolute Min Absolute MinFind the absolute maximum value and the absolute minimum value of the function on the given interval. Remember to show that you checked ALL the candidates. 1. f(x) = x3- 27x + 2, [0,4] 2. h(x) = 3x3 - 2x, [-1,1] 3. g(x) = x2+ , -2 4. f(x) = sin 3x