NDA Math Application of Derivatives

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Consider the following statements in respect of the function
f(x)={
|x|+1‌0<|x|≤3
1‌x=0.

1. The function attains maximum value only at x=3
2. The function attains local minimum only at x=0
Which of the statements given above is/are correct?
[NDA II 2022]
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