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Points of Discontinuity

Let f:ℝ→ℝ be ...

Question

Let $f : R \to R$ be a function defined by $f (x) = m a x {x, x^{2}}$ . Let $S$ denote the set of all points in $R$ , where $f$ is not differentiable. Then

A

{0, 1}

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B

ϕ

(an empty set)

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C

{1}

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D

{0}

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Solution

The correct option is A ${0, 1}$

Function is not differentiable at two points
${0, 1}$

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