Answer:
No, the given relation is not a function.
Step-by-step explanation:
A relation is a function if there exist a unique output for each input.
The given relation is
[tex]x=y^2[/tex]
It is a horizontal parabola centered on the x axis, going through the origin, and opening to the right.
Taking square root on both sides.
[tex]\pm \sqrt{x}=y[/tex]
Here for each value of x, there exist more than one value of y. Therefore the given relation is not a function.
If a vertical line intersect the parabola more than once, then the relation is not a function.
From the below graph it is clear that the graph dose not pass the vertical line test. So, the given relation is not a function.
