What are the asymptotes of y=2/x+3 and how do you graph the function?

Natalya Mayer 2022-09-13 Answered
What are the asymptotes of y = 2 x + 3 and how do you graph the function?
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Answers (1)

Ashlynn Cox
Answered 2022-09-14 Author has 12 answers
I tend to think of this function as a transformation of the function f ( x ) = 1 x , which has a horizontal asymptote at y=0 and a vertical asymptote at x=0.
The general form of this equation is f ( x ) = a x - h + k
In this transformation, h=0 and k=3, so the vertical asymptote is not shifted left or right, and the horizontal asymptote is shifted up three units to y=3.
graph{2/x+3 [-9.88, 10.12, -2.8, 7.2]}
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