Graphing rational functions: x^2 - x / x + 1

[Ironhawk]

I have to sketch the graph of:
x^2-x
x+1

I know you want to see an attempted but I have look at the examples in my book and nothing seems to come close to the order the equation is set up. Help.

 

[Deleted member 4993]

Re: Graphing rational functions

I have to sketch the graph of:
x^2-x
x+1

I know you want to see an attempted but I have look at the examples in my book and nothing seems to come close to the order the equation is set up. Help.

\(\displaystyle f(x) \, = \, \frac{x^2 \, - \, x}{x \, + \, 1} \, = \, \frac{x\cdot (x \, - \, 1)}{x \, + \, 1} \, = \, x \, - \, 2 \, + \, \frac{2}{x \, + \, 1}\)

Does it tell something about

Where the f(x) = 0

Where f(x) is undefined

The asymptote of f(x)?

 

[stapel]

I have look at the examples in my book and nothing seems to come close to the order the equation is set up.

I'm sorry, but I don't understand what you mean by this...? You've done plenty of graphing, right? So find the intercepts (which you learned about for linear equations), pick some x-values, find the corresponding y-values, and keep drawing dots until you can "see" the graph. Then fill in the sketch.

If your class has covered asymptotes, that would probably be very helpful, as well.

Eliz.