Answer
See graph
Work Step by Step
We are given the function:
$f(x)=\begin{cases}
3x-2,\text{ if }x\not=2\\
3,\text{ if }x=2
\end{cases}$
In order to draw the line $y=3x-2$ we use its intercepts:
$x=0\Rightarrow y=3(0)-2=-2$
$y=0\Rightarrow 0=3x-2\Rightarrow x=\dfrac{2}{3}$
The point $(2,3(2)-2)=(2,4)$ doesn't belong to the graph of $y=3x-2$. The value corresponding to $x=2$ is $y=3$.
