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UPSC NDA I 2016 Mathematics Solved Paper

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

[NDA I 2016]

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Question : 20 of 120

Marks: +1, -0

Which one of the following statements is correct ?

f(x) has local minima at more than one point in(-∞,∞)
f(x) has local maxima at more than one point in (-∞,∞)
f(x) has local minimum at one point only in (−∞,∞)
f(x) has neither maxima nor minima in (−∞,∞)

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