how do we sketch f(x) = (x)/(x^2 -1)
could you please show the steps step by step

Question

amistre64 · Answer

the most basic way is to simply set up a table of points

amistre64 · Answer

x     f(x)
--------
-12
  -9
  -6
  -3
    0
    3
    6
    9
  12

and depending on those results, plot a graph with those points

amistre64 · Answer

notice that when x=1 or -1 we go into forbidden maths

amistre64 · Answer

|dw:1322949947166:dw|
maybe

anonymous · Answer

oh ok thank you! =]

anonymous · Answer

Hmm Let's see 


$$f(x) = \frac{x}{x^2 - 1}$$
$$f(x) = \frac{x - 1+1}{(x-1)(x+1)}$$
$$f(x) = \frac{1}{x +1} + \frac{1}{x^2-1}$$
Hmm Graph of $f(x) = \frac{1}{x+1}$ must be |dw:1322949974312:dw||dw:1322950035197:dw| Graph of $ f(x) = \frac{1}{x^2-1}$ must be 
|dw:1322950175925:dw||dw:1322950217370:dw| Hmm If I combine both of them I must Get something like |dw:1322950303120:dw|Now Hmm I must find the common domain and exclude f(x)'s range for other values of x on graph