What are the asymptotes of y=1/(x+3) and how do you graph the function?

Ciolan3u

Ciolan3u

Answered question

2022-09-11

What are the asymptotes of y = 1 x + 3 and how do you graph the function?

Answer & Explanation

Manuel Leach

Manuel Leach

Beginner2022-09-12Added 13 answers

graph{y(x+3)-1=0 [-10, 10, -5, 5]} y = 1 x + 3 ± , a s x 3
Inversely,
x 1/y-3 to +-oo, as x to 0#.
So, the asynptotes are x = -3 and y = 0.
Interestingly, the equation y(x+3=1 represents the rectangular
hyperbola, having these asymptotes that meet at its center (-3, 0).

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