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Let f: R to R be a function defined byf(...

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)ge1 "for all" x in R`

B

f(x) is not differentiable at x = 1

C

f(x) is differentiable everywhere

D

f(x) is not differentiable at x = 0

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