Answer
Sample sketch:
Work Step by Step
From left to right, we need a graph that
rises from $-\infty$ slightly right of the y-axis,
to cross the x-axis at (1,0),
continues rising to near the asymptote at $x=2$ from the left.
Falls from the right of the asymptote $x=2$,
falling to the point $(3,1),$ which is excluded from the graph (empty dot)
From $(3,1)$, rises to near the asymptote at $x=4.$