Use the graph of f(x)= x^2/x^2-4 to determine on which of the following intervals Rolle's Theorem applies?

Question

How do you figure out this problem and which answer is right and why?

Choices:

a) [0,3]

b) [-3,3]

c) [-3/2,3/2]

d) [-2,2]

e) none of these

Answer 1

Answer: c) [-3/2,3/2]

Reason: f(x) is continuous on [-3/2,3/2], differentiable on (-3/2,3/2]), and f(-3/2) = f(3/2).