Applications Of Derivatives Question 389

Question: Rolle’s theorem is true for the function $ f(x)=x^{2}-4 $ in the interval

Options:

A) [-2, 0]

B) [-2, 2]

C) $ [ 0,,\frac{1}{2} ] $

D) $ [0,2] $

Show Answer

Answer:

Correct Answer: B

Solution:

If Rolle’s theorem is true for any function $ f(x) $ in $ [a,,b]. $

Then $ f(a)=f(b), $ therefore [-2,2].