Sketch Instructions:

At x$=2$x$=2$:

Draw a hole at the point $(2,3)(2,3)$ to indicate that the function approaches $3$ but is not defined at x$=2$x$=2.$

At x$=2$x$=2$:

Draw a vertical asymptote at x$=2$x$=2.$

As xx approaches $2$ from the left $($x$2$x$2),$ the function should drop sharply toward $$$$$.$

As xx approaches $2$ from the right $($x$2+$x$2+),$ the function should approach the value $1.$

Elsewhere:

Draw a smooth curve for the function, ensuring it is continuous everywhere except at x$=2$x$=2$ and x$=2$x$=2.$

Example Sketch:

For x$<2$x$<2,$ the function could be a smooth curve approaching $3$ as x$2$x$2.$

For $22$x$>2,$ the function could be a smooth curve approaching $1$ as x$2+$x$2+.$