Determine if x^2+y^2=9 is a function by graphing.

1 answer

To determine if the equation x^2 + y^2 = 9 represents a function, we can graph it and see if there are any vertical lines that intersect the graph at more than one point.

The equation represents a circle with a radius of 3 centered at the origin (0,0).

When we graph the equation, we find that every vertical line intersects the graph at most once. Therefore, the equation x^2 + y^2 = 9 represents a function.

Here is the graph of the equation:

Graph: https://www.desmos.com/calculator/4arlhzr8ua
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