Question

The Rolle's theorem is applicable in the interval $-1\le x\le 1$ for the function

• A. $f(x)=x$
• B. $f(x)=x^2$
• C. $f(x)=2x^3+3$
• D. $f(x)=|x|$

Answer 1

Answer: (B)

Let $f(x)=x^2$
$\therefore f(1)=f(-1)=1$
Also, $f(x)$ is continuous and differentiable in the given interval.