NDA Math Limit, Continuity and Differentiability

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Consider the following for the next three (03) items that follow:
Let f(x)={
−2,−3≤x≤0
x−2,0<x≤3
and g(x)=f(|x|)+|f(x)|
[NDA II 2016]
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Question : 62 of 105
 
Marks: +1, -0
Which of the following statements are correct?
1. g(x) is continuous at x=0.
2. g(x) is continuous at x=2.
3. g(x) is continuous at x=−1.
Select the correct answer using the code given below:
[NDA II 2016]
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