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Does the equation #y = 2/x# represent a direct variation and if so, identify the constant of variation?

Answer 1

Kennedy Adams

It represents an inverse proportion with #k=2#

#y = 2/x# can also be written as #xy = 2#

This means that two values multiply together to give #2#.

As #x# gets smaller, #y# gets larger.

#k = xy# defines inverse proportion.

The constant is #2#

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Answer 2

Eva Adamson

Yes, the equation (y = \frac{2}{x}) represents a direct variation. The constant of variation is (2).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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