How do you use the vertical line test to show $x^{2} + y^{2} = 9$ $x^2+y^2=9$ is a function?

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How do you use the vertical line test to show $x^{2} + y^{2} = 9$ $x^2+y^2=9$ is a function?

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Answer 1 · 2015-06-05T21:23:48

It is not a function.

For example, the vertical line $x = 0$ $x=0$ intercepts the curve described by this equation at two points, viz $(0, 3)$ $(0, 3)$ and $(0, - 3)$ $(0, -3)$ . So $y$ $y$ is not uniquely defined for each value of $x$ $x$ .

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How do you use the vertical line test to show $x^{2} + y^{2} = 9$ $x^2+y^2=9$ is a function?

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How do you use the vertical line test to show x2+y2=9x^2+y^2=9 is a function?

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How do you use the vertical line test to show $x^{2} + y^{2} = 9$ $x^2+y^2=9$ is a function?