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JEEMAIN and NEET
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JEEMAIN PAST PAPERS
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2007
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Q)
Let $f: R\to R$ be a function defined by $f(x) = min \{ x + 1, |x| + 1\}$. Then which of the following is true ?
( A ) $f(x) \geq 1$ for all $x \in R$
( B ) $f(x)$ is not differentiable at $x= 0$
( C ) $f(x)$ is differentiable everywhere
( D ) $f(x)$ is not differentiable at $x=1$
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