You can put this solution on YOUR website! You can solve for y and get which assigns just one y value to each x value, so it is a function.
The relation is not a function because for there are two values for y: and .
Another way of checking is looking at a graph and seeing if a vertical line could intersect the graph more than once.
The graph of is a slanted line, so it's a function.
The graph of is a circle, so you know it's not a function because a vertical line can cross the circle at two points.