How do you find the asymptote and graph y=1/(x−5)−4?

sincsenekdq 2022-09-16 Answered
How do you find the asymptote and graph y = 1 x - 5 - 4 ?
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Answers (1)

Peyton Atkins
Answered 2022-09-17 Author has 13 answers
y = 1 x - 5 - 4
Notice y is undefined at x=5
Consider, lim x 5 - y = - and lim x 5 + y = +
Also, lim x - y = - 4 and lim x + y = - 4
Hence y is a rectangular hyperbola with a vertical asymptote of x=5 and a horizontal asymptote of y=−4
The graph of y is shown below.
graph{1/(x-5)-4 [-5.42, 17.08, -7.105, 4.14]}

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