- #1
zebra1707
- 107
- 0
Hi there
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.
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)
Needing some guidence about where to start and setting out.
Cheers P
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.
Homework Statement
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)
Homework Equations
The Attempt at a Solution
Needing some guidence about where to start and setting out.
Cheers P