Ok, so
Here we have the following function:
[tex]f(x)=\begin{cases}-5x+3,\text{ if }x\leq2 \\ x-4,\text{ if }x>2\end{cases}[/tex]
We're going to graph the function first.
If x is less or equal than 2, the function will be the line -5x+3. This line has a slope equal to -5 and a y-intercept equal to 3.
This is,
As you can see, the function is not defined in x = 2, so it is not continuous.
