# How do you find asymptotes, local extrema, and points of inflection, given #f(x) = (x^2 - 8)/(x+3)#?

##### 2 Answers

Apr 13, 2015

Have a look:

The inflection or change of concavity occurs at the point of discontinuity.

graph{(x^2-8)/(x+3) [-41.1, 41.13, -20.54, 20.55]}

Apr 13, 2015

If you also want the slant asymptote, do the division:

So the line

That is, as

Slant asymptotes are also called oblique asymptotes.