What are the asymptotes of y=1/(x−2) and how do you graph the function?

Jonah Jacobson 2022-09-12 Answered
What are the asymptotes of y = 1 x - 2 and how do you graph the function?
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Answers (1)

Lorenzo Aguilar
Answered 2022-09-13 Author has 18 answers
y = 1 x - 2
y is defined for x ( - , 2 ) ( 2 , + )
Consider lim x 2 + y = +
And lim x 2 - y = -
Hence, y has a vertical asymptote x=2
Now, consider lim x y = 0
Hence, y has a horizontal asymptote y=0
y is a rectangular hyperbola with the graph below.
graph{1/(x-2) [-10, 10, -5, 5]}
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