The open circle should be placed at (0,0)
The piece-wise function is given as:
[tex]f(x) =\left[\begin{array}{ccc}-x&x < 0\\1&x \ge 0\end{array}\right[/tex]
In the above function definition, we have the following intervals
x < 0 and x >= 0
This means that:
f(0) = 1 -- closed circle
f(x < 0) = -x
Hence, the open circle should be placed at (0,0) because it is exclusive of f(x) = 1
Read more about piece-wise functions at:
https://brainly.com/question/7352615
