- #1

Glissando

- 34

- 0

## Homework Statement

Sketch the graphs of the following function showing vertical and horizontal asymptotes and relative extrema:

f(x) = (x

^{2}-1)/(x

^{2}-4)

## Homework Equations

Limits, zeroes, derivatives

## The Attempt at a Solution

I know that I have the majority of the answers right, the only problem I'm having is with part of the vertical asymptote.

VA = positive and negative 2

The problem is with -2:

lim (-2

^{2}-1)/(-2

^{+})

^{2}-4)

x->-2

^{+}

= (4-1)/(4

^{+}-4) = +infinity

lim ((-2)

^{2}-1)/((-2

^{-})

^{2}-4)

x->-2

^{-}

= (4-1)/(4

^{-}-4) = negative infinity

But my graphing calculator shows the exact opposite ):!

Any help is appreciated! Thank you <3