please be quick I just need answer to confirm I got it right

In this case, we'll have to carry out several steps to find the solution.
Step 01:
graph
Step 02:
functions:
limits:
we must analyze the graph to find the solution.
[tex]\lim_{x\to0^-}\text{ f\lparen x\rparen = 0}[/tex][tex]\lim_{x\to0^+}f(x)=4[/tex][tex]\lim_{x\to0}f(x)\text{ = does not exist}[/tex]That is the full solution.