Find all horizontal asymptote (s) of the function f(x) = x2 −x x2 −6x+5 f (x) = x 2 x x 2 6 x + 5 and justify the answer by computing all necessary limits. Also, find all vertical asymptotes and justify your …

Apparently to check if/where the horizontal asymptote is crossed I solve for f (x) = A, where A is the limit, is this true? 2)After solving for the vertical asymptotes I get x = 0 and x = 1.

Mar 27, 2019 · Every time you plug the asymptote into the reworked equation you end up with a contradiction, and any other numbers (minus holes) returns a value that can be found on the graph.

Dec 18, 2014 · "an asymptote is a horizontal line that the graph of the function gets closer and closer to, but does not touch" - @JohnD why do you think this is not a true statement?

Jul 21, 2018 · A horizontal asymptote gives a rough idea of what the graph will look like (what value the y (outputs) will be close to when x-values (inputs) get really big or small.

Jan 15, 2019 · Rule 2) If the numerator and denominator have equal degrees, then the horizontal asymptote will be a ratio of their leading coefficients Rule 3) If the degree of the numerator is exactly …

Dec 13, 2023 · 2 I recently came across a definition of an asymptote of a function as follows: The function gets infinitely close to the asymptote. The function does not cross the asymptote. This made …

Nov 30, 2021 · I assume you are talking about the graph of a function. For vertical asymptotes, remember that a function is single-valued - it gives only one y value for each x-value in its domain. …

Mar 1, 2018 · For the equation above, the horizontal asymptote holds true as X goes towards positive and negative infinity outside of the vertical asymptotes (X = -5 & X = 2). However, inbetween the two …

When finding the root, you get $0 = \frac {3} {8x - 3}$ and then $0 = 3$ which is not true, therefore this must mean the curve does not cut the x-axis? The horizontal asymptote (using what I posted above) …