$h(x)=\{\begin{array}{ccc}x+4& if& x0\\ x^2-2x+4& if& x>0\end{array}$

$($a$)$ Choose the correct graph below.

$($b$)$ Select the correct choice below and, if necessary, fill in the answer box within your choice.

A$.$ The function is discontinuous at $x=$

$($Use a comma to separate answers as needed.$)$

B$.$ The function is continuous for all values of $x.$

A$.$ The limit$($s$)$ from the left is$/$are The limit$($s$)$ from the right is$/$are

$($Use a comma to separate answers as needed.$)$

B$.$ No discontinuities were found in part $($b$).$