Consider the function g(x)=x−3x2−9 for x=3. On the closed interval [0,3], does the Mean Value Theorem apply?
a) Yes, because g can be simplified to g(x)=x+3, which is continuous and differentiable on [0,3].
b) No, because g is not differentiable at x=0, an endpoint of the interval.
c) No, because g is not continuous at x=3, an endpoint of the interval.
d) Yes, because the discontinuity at x=3 is removable, so it does not affect the theorem.