Suppose f(x) is a function which is twice differentiable and has f ′′
(x)= x 2
−9
6
​
as its second derivative. If it is known that x=2 is a critical number for f(x), which statement best describes what is happening at x=2 ? More information is needed to determine if f has a maximum or minimum at x=2. f(x) has a local maximum value at x=2. f(x) has a both a local maximum value and a local minimum value at x=2. f(x) has a neither a local maximum value nor a local minimum value at x=2. f(x) has a local minimum value at x=2.