Question

Use the graph of f(x)=x^2/(x^2-4) to determine on which of the following intervals Rolle's Theorem applies. A) [0, 3] B) [-3, 3] C) [-3/2, 3/2] D) [-2, 2] E) None of these

Answer 1

Roll's theorem applies to a continuous interval. So to answer the question, you will first need to look for discontinuities in the given rational function.
You will get the hint by searching for at what point(s) the denominator vanishes (i.e. becomes zero).