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  • <img alt="\mathrm{ \text { The function } f(x)=\max .\{(1-x),(1+x), 2\}, x \in(-\infty, \infty) \text { is : } }" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B%20%5Ctext%20%7B%2

\mathrm{ \text { The function } f(x)=\max .\{(1-x),(1+x), 2\}, x \in(-\infty, \infty) \text { is : } }

Option: 1

continuous at all points 


Option: 2

differentiable at all points 


Option: 3

 differentiable at all points except at x=1 and x=-1


Option: 4

continuous at all points except at  x=1 and  x=-1


Answers (1)

best_answer


f(x) is continuous everywhere and also differentiable everywhere except at x=1 and at x=-1

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Ritika Harsh

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