As we can see in the picture, the first part of the piece-wise function has to be a parabola, while the second is a linear equation.
Also, the parabola has a condition, in which:
[tex]x<2[/tex]The number 2 is not included as the graph has an empty dot.
While the linear equation, as it has a full dot, we can say that:
[tex]x\ge2[/tex]Based on the latter, we can know the answer...
Answer: A.
