Graphing question

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Identify all asymptotes of the graph of $y = \frac{(x - 1)}{(x - 1)^3 (x + 2)(x - 4)}$ .

Guest Jun 18, 2021

CPhill · Answer 1 · 2021-06-18T03:19:44

We have a lower power polynomial in the numerator than in the denominator......thus....we have a horizontal asymptote at y = 0

Any value of x that makes the denominator = 0 will produce a vertical asymptote

These values are x = 1 , x = -2 and x = 4

See the graph here : https://www.desmos.com/calculator/83yexvcw5l