Hi there(adsbygoogle = window.adsbygoogle || []).push({});

I have a Rational function y = 1 / x^2-1 . I have a good idea what the graph looks it, it will have vertical asymptotes at -1 and 1 and I can work out the y intercept (-1 concave down). However I'm not sure about the other parts to the question.

1. The problem statement, all variables and given/known data

dy/dx = - 2x/(x-1)^2(x+1)^2

The other parts of the question are as follows:

b) Find any turning points and determine their nature

c) For what values of x is the curve discontinous

d) How does the curve behave when x(arrow)(infinity) and when x(arrow)(-infinity)

e) Show f(x) = f(-x)

f) Find f(2) and f(-2)

2. Relevant equations

3. The attempt at a solution

Needing some guidence about where to start and setting out.

Cheers P

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Rational Functions

**Physics Forums | Science Articles, Homework Help, Discussion**