$$f(x)=minx$$,$$x2$$∀x∈R then $$f(x)$$ is

$$x=x2$$⇒x−$$x2=0$$⇒$$x=0$$,$$x=1fx=x$$ for x $$1$$

$$f(x)=minx$$,$$x2$$∀x∈R then $$f(x)$$ is

Correct option is 3Continuous on R

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$f (x) = min \{x, x^{2}\} \forall x \in R then f (x) is$

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discontinuous at 0

Discontinuous at 1

Continuous on R

Continuous at 0 , 1

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detailed solution

Correct option is C

x=x2⇒x−x2=0⇒x=0,x=1fx=x for x<0x2 for 0≤x≤1x for x>1

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f(x)=minx,x2∀x∈R then f(x) is

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$f (x) = min \{x, x^{2}\} \forall x \in R then f (x) is$