# What are the asymptotes for #y=2/x# and how do you graph the function?

Asymptotes

graph{xy=2 [-10, 10, -5, 5]}

To make a graph find Points such that at x=1, y=2 at x=2, y=1 at x=4, y=1/2 at x=8, y=1/4 ....

at x=-1, y=-2 at x=-2, y=-1 at x=-4, y=-1/2 at x=-8, y=-1/4

and so on

and just simply connect the points and you get the graph of function.

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The asymptotes for the function y=2/x are a vertical asymptote at x=0 and a horizontal asymptote at y=0. To graph the function, plot points on the graph by choosing different values for x and calculating the corresponding y-values. Connect the points to form a smooth curve.

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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.

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.

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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