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\[f(x)= \frac{ x^{2}+x-2 }{ x ^{2-}3x-4 }\]

Lets factor!

Do you know how to factor?

Yes \[\frac{ (x+1)(x-2) }{ (x+1)(x-4) }\]

Cool! Okay now, cross out the common factors and what are you left with?

\[\frac{ (x-2) }{ (x-4) }\]

Right, okay. Now do you have the slightest idea of what we do now?

Not really haha

Would you like me to help you make a X,Y chart?

Yes please

Alright. Let's start.

Thank you :D

|dw:1434953607858:dw|
Pick 5 x-values for me. Keep them a good range. :)

-2,-1,0,1,2

Isn't that what people usually do

\[\frac{ 2 }{ 3 }, -\frac{ 3 }{ 5 }, \frac{ 1 }{ 2 },-\frac{ 1 }{ 3 }, \frac{ 0 }{ -2 }\]

I'm pretty sure some of those are wrong haha

Could you show me your work for x-values -1 and 1 please?

(-1-2)=-3
(-1-4)=-5

Is that correct?

Its two separate lines?

there are 2 parts to the curve

and there would be a point of discontinuity at x = -1...
in my humble opinion

pre cal

but Uki will probably clean up my solution and meake it more readable

ah...so.. ihateschool18 is getting there to asymptotes..

ha ha I need to eat dinner... no seriously...can't do math without food

the great is complex... and would need a very large table to get an idea of the whole graph

@karatechopper wow that's early...I was first exposed to it in Calculus I O_O

and I tend to use quick and dirty methods rather than the long and boring ones

Thank you guys so much btw

Oye, old school is cool sometimes when getting the point across. xD

Welp, I tried haha. Have a good day guys.

Thanks and you too