By analyzing the domain of the piece-wise function's graph, we can see that the correct option is A.
Which function is the graphed one?
Let's only analyze the linear part. We can see that the linear part is defined for most negative values, and it goes until x = 1.
As you can see, there is a closed dot at x = 1. This means that this value belongs to the line, so the linear part is defined for:
x ≤ 1
The option with this domain on the linear part is option A, so that is the correct one.
If you want to learn more about piece-wise functions, you can read:
https://brainly.com/question/3628123