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How do you find the important points to graph #y = -2/x#?

Answer 1

Eva Adamson

No importend points

We must know, that #x# can not be #0#

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Answer 2

Abigail Allen

To graph ( y = -\frac{2}{x} ), you can find important points by selecting various values for 'x' and calculating the corresponding 'y' values. Some key points to consider are:

Choose 'x' values such as -2, -1, 1, and 2 to capture the behavior of the function around the origin.
Calculate the corresponding 'y' values using the equation ( y = -\frac{2}{x} ).
Plot the points (-2, 1), (-1, 2), (1, -2), and (2, -1) on the graph.
Consider asymptotes: note that the graph has vertical asymptotes at ( x = 0 ) and horizontal asymptotes as ( y = 0 ).

This process will give you a good understanding of the behavior of the graph of ( y = -\frac{2}{x} ).

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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.