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

odcinaknr

odcinaknr

Answered question

2022-09-30

What are the asymptotes of y = x 2 x 2 - 1 and how do you graph the function?

Answer & Explanation

Zara Pratt

Zara Pratt

Beginner2022-10-01Added 12 answers

Both x=+1 and x=−1 are the vertical asymptotes, as they would make the denominator =0 and the function undefined.
As x gets larger (positive or negative) the function looks more and more like x 2 x 2 = 1 , so y=1 is another (horizontal) asymptote.
graph{x^2/(x^2-1) [-10, 10, -5, 5]}
x 2 - 1

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