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Determine whether the following equation defines y as a function of x. x^2 + y^2 =169
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The graph of this is a circle of radius 13 centered at the origin. Does it pass the vertical line test?
no
So, is it a function?
no?
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Remember, the vertical line test is a graphic test for functions. If any vertical line hits the graph more than once, the relation is not a function. That is exactly what happens in this case.
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