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I know that x can never be zero in inverse variation functions, but can y  ever be zero?

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What a great question!

Let's say we are looking at the equation y=3/x . If we let y=0, then we'd have 0=3/x.

Now is there anything we can divide 3 by and get 0? There is not. Thus, y cannot be zero for an inverse variation.

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Could we ever have the equation y = 0/x?

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Yes, this equation is possible. But, seeing as 0 divided by anything will always equal 0, this equation is basically y=0. For any value of x, y is zero.

This would be a flat line at y=0 if it was graphed. The line would be on the x-axis, since that is where y=0 is located on the coordinate grid.

What a great question!

Let's say we are looking at the equation y=3/x . If we let y=0, then we'd have 0=3/x.

Now is there anything we can divide 3 by and get 0? There is not. Thus, y cannot be zero for an inverse variation.

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Discard

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