Answer
Only $(0, 0)$ is on the graph.
Work Step by Step
Plug in each $x$-coordinate into the given equation and see if the resulting $y$-value matches with the $y$-coordinate of the given point. If it does, then the point is on the graph of the given equation.
$x=0$:
$0^4-\sqrt{0}=0-0=0$.
Thus, $(0, 0)$ is on the graph.
$x=1$:
$1^4-\sqrt{1}=1-1=0$.
Thus, $(1, 1)$ is not on the graph.
$x=2$:
$2^4-\sqrt{2}=16-1.4=14.6$.
Thus, $(2, 4)$ is not on the graph.
So out of these points, only $(0, 0)$ is on the graph.
