Given that the function f(x)=3x 4
−16x 3
+7 has critical numbers x=0 and x=4 which of the following statements best describes the local maximum and minimum values of f ? f(x) has a local minimum value at x=0 and a local maximum at x=4. f(x) has a local minimum value at x=4 and a local maximum value at x=0. f(x) has a local maximum value at x=4 and no local minimum value. f(x) has a local maximum value at x=0 and no local minimum value. f(x) has a local minimum value at x=4 and no local maximum value.