Consider the function given by f(x) = x² e⁻²ˣ. Determine the absolute maximum value and absolute minimum value of f over the interval 1,3. Give your answer with an accuracy of at least:

a) Absolute maximum: 2.24, Absolute minimum: 0.44
b) Absolute maximum: 4.24, Absolute minimum: 0.44
c) Absolute maximum: 4.24, Absolute minimum: 0.24
d) Absolute maximum: 2.24, Absolute minimum: 0.24