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UPSC NDA 2 2016 Mathematics Solved Paper

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Consider the following function for the next two (02) items that follow:
f(x)={

3x2+12x−1	−1≤x≤2
37−x	2<x≤3.

[NDA II 2016]

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Question : 76

Total: 120

Which of the following statement is/are correct?
1. f(x) is increasing in the interval [−1,2].
2. f(x) is decreasing in the interval (2,3].
Select the correct answer using the code given below:

1 only
2 only
Both 1 and 2
Neither 1 nor 2

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