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Determine whether the following equation defines y as a function of x: x^2 + y^2 = 49

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No it doesn t, because y^2 = 49-x^2 means there are 2 values of y for any single value of x between -7 and 7.

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x^2 + y^2 = (7)^2 This is the equation of a circle and circles fail the vertical line test, so the answer to your question is "no".


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