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Does the equation x²+y²=36 define y as a function of x ?

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Final answer:

No, the equation x²+y²=36 does not define y as a function of x.

Step-by-step explanation:

No, the equation x²+y²=36 does not define y as a function of x. In order for an equation to represent a function, each input (x-value) must correspond to exactly one output (y-value). However, in the given equation, for every x-value, there are two possible y-values that satisfy the equation. This can be visualized as a circle with a radius of 6 units centered at the origin.

User Joe Amenta
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