Maths Exercises
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Maths Exercices

Asymptotes

A linear asymptote is essentially a straight line that a graphed curve becomes closer and closer but does not become identical to.
A function can have more than one asymptote, and what is more: There are three different types of asymptotes: vertical, horizontal and oblique asymptotes.

If an asymptote is parallel with the y-axis, we call it a vertical asymptote. If an asymptote is parallel with the x-axis, we call it a horizontal asymptote. All other asymptotes are oblique asymptotes.



Vertical asymptote: A line x = a is a vertical asymptote of a function f when or

Horizontal asymptote: A line y = a is a horizontal asymptote of a function f when or

Oblique asymptote: A line y = mx+n is an oblique asymptote of a function f when

 

Find the Oblique asymptote(s) of the function:
There are not oblique asymptotes.
The line y= x+ is an oblique asymptote.