Answer
$(0,0)$ is on the graph
$(1, 1)$ and $(-1, 0)$ are not on the graph.
Work Step by Step
The points are on the graph if they satisfy the equation.
Therefore, we have to see for all three of the points if they satisfy the given equation $y=x^4-\sqrt{x}$.
This can be done by substituting the $x$ and $y$-coordinates of each point into the given equation.
For the first point:
$y=x^4-\sqrt{x}\\
0=0^4-\sqrt0\\
0=0$
The point is on the graph.
For the second point:
$y=x^4-\sqrt{x}\\
1=1^4-\sqrt1\\
1\ne0$
The point is not on the graph.
For the third point:
$y=x^4-\sqrt{x}\\
0=(-1)^4-\sqrt{-1}\\
0\ne1-i$
The point is not on the graph.
