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

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Answer 1 · 2016-12-21T11:56:55

Vertical: $uarrx--3darr$
Horizontal: $larry = 0rarr$

graph{y(x+3)-1=0 [-10, 10, -5, 5]} $y = 1/(x+3) to +-oo, as x to 3$

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).

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