State whether the function f(x)=x^4/4-x^3+x^2 attains a maximum or minimum value (or both) on the interval [0,2). Show your work.
a. max at 1, min at 0, and min at 2
b. max at 1, min at 0
c. min at 1, max at 0, and max at 2
d. min at 0, min at 2, no max
e. none of the above