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NDA Math Limit, Continuity and Differentiability

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Consider the following for the next three (03) items that follow:

Let

f(x)=\begin{cases} -2, & -3 \le x \le 0 \\ x-2, & 0 < x \le 3 \end{cases}

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?

g(x)

is continuous at

x=0

2. g(x) is continuous at

x=2

g(x)

is continuous at

x=-1

Select the correct answer using the code given below:

1 and 2 only
2 and 3 only
1 and 3 only
1,2 and 3

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