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NDA Math Application of Derivatives

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For the next two items that follow :
Consider the function
f(x)=|x−1|+x2
where x∊ℝ

[NDA I 2016]

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Question : 51 of 73

Marks: +1, -0

Which one of the following ,statements is correct?

f(x) is increasing in (−∞,
1
2
) and decreasing in(
1
2
,∞)
f(x) is decreasing in (−∞,
1
2
) and increasing in (
1
2
,∞)
f(x) is increasing in (−∞,1) and decreasing in (1,∞)
f(x) is decreasing in(−∞,1) and increasing in (1,∞)

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