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Is #y =2/ x # an inverse variation?

Answer 1

#y =2/ x #

here the variables are #y# and #x# and the constant is #2#

understanding the variation through an example :

Assigning random values to #color(red)(x#

By observing the trend of increase/decrease of one of the variables with respect to another we can come to a conclusion that the variation is inverse.

As one variable #color(red)((x)# increases the other variable #color(blue)((y)# decreases.

Looking at a more practical example. Distance= (Speed)x(Time)

Speed = Distance / Time

Here as speed increases the time taken to cover a constant distance then decreases . Thus it is an inverse variation.

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Answer 2

Jameson Allen

Yes, y = 2/x is an inverse variation.

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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.