Answer
See below.
Work Step by Step
If we plug in the respective $x$ and $y$ values of $(x,y)$, we can check if it satisfies the equation, if it does, it is on the graph, if it doesn't it is not on the graph.
Hence here: $(-2,-1)\rightarrow(-2)^3-3\sqrt(-2)+1=-8+6+1=-1$, so it is on the graph
$(2,3)\rightarrow(2)^3-3\sqrt(2)+1=8-6+1=3$, so it is on the graph
$(3,1)\rightarrow(3)^3-3\sqrt(3)+1=27-9+1=19\ne1$, so it is not on the graph