Learn about and practice operations with horizontal asymptotes using this quiz and worksheet. Then, consult the related lesson to verify and add to...

Find all horizontal asymptote (s) of the function $\displaystyle f (x) = \frac {x^2-x} {x^2-6x+5}$ and justify the answer by computing all necessary limits. Also, find all vertical asymptotes and …

Learn how to find the asymptotes of a rational function in linear over linear form, and see examples that walk through sample problems step-by-step for you to improve your math …

I'd like to ask a question about what can I possibly do wrong with determining asymptotes of the function $$x \\mapsto x-2\\sqrt{x^2+1} $$ OK, so when it comes to ...

Consider the following function. (If an answer does not exist, enter DNE.) f (x) = In (5-In (x)) (a) Find the vertical asymptote (s). (Enter your answers as a comma-separated list.) x = 5 Find …

Horizontal Asymptotes If a function {eq}f (x) {/eq} has a horizontal asymptote, then the graph of {eq}f (x) {/eq} approaches that asymptote when x takes on very large values (either positive or …

You can find the horizontal or oblique asymptote by polynomial division or by considering the ratio as |x| becomes very large (I am avoiding "limits at infinity" in this discussion since you said this …

Solution for find the values of a and b for a rational functional of the form y= ax/x+b with a vertical asymptte at x=2 and horizontal asymptote at y=-5

The horizontal asymptote of a rational function is a line whose slope is zero and the intercept with the y-axis is a finite a-value. The asymptote has the formula y=a and occurs when the …