Showing posts with label slant asymptote. Show all posts
Showing posts with label slant asymptote. Show all posts

Tuesday, September 14

slant asymptote

Let us learn about slant asymptote

Try to find the slant asymptote of the following function:

Y = x² + 3x + 2 divided by x – 2

To find the slant asymptote, we need to do the long division:










The slant asymptote is the polynomial part of the solution, not the remainder.
Slant asymptote: y = x + 5

Just like horizontal & vertical asymptotes, slant asymptotes are lines the graph approaches. Slant asymptote are also called oblique asymptotes.

A graph always has a slant asymptote if the degree of the numerator is bigger than the degree of the denominator
If you want to find slant asymptotes, divide the numerator by the denominator & keep only the quotient Don't forget that these are still lines, so slant asymptote are written as y =

To divide slant asymptote, you either have to use long division or synthetic division

In our next blog we shall learn about nitrogen trichloride I hope the above explanation was useful.Keep reading and leave your comments.