The solid dot is on the line extending downward to the left, meaning the function is defined for x ≤ 1. Only selections b and c are so defined.
The slope is positive for x ≤ 1. Only selection c is so defined.
The appropriate choice is ...
[tex]c.\quad y=\left\{\begin{array}{ll}-x+2&x>1\\x+1&x\leq1\end{array}\right.[/tex]
