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

sincsenekdq

sincsenekdq

Answered question

2022-09-16

How do you find the asymptote and graph y = 1 x - 5 - 4 ?

Answer & Explanation

Peyton Atkins

Peyton Atkins

Beginner2022-09-17Added 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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