Summary of Curve Sketching - Example 2 - Part 2 of 4

[SynpaticInc]

Would it be correct to assume (for rational functions only) that for horizontal asymptotes, if the H.A. is nonzero, then y = +/- # or is it better to do out the limits approaching positive and negative infinity separately?

[DarkGothicVampire13]

why would you multiply 1/x to bottom and top of function? :/

[DarkGothicVampire13]

@DarkGothicVampire13 how did you get rad 1/x^2 @.@

[Sabo3113]

@DarkGothicVampire13

sqrt(x^2) = square root of x^2

The greatest x power in the denominator is sqrt(x^2)

But sqrt(x^2) = x so you divide everything by x which is the same thing as multiplying everything by (1/x)

You can do it either way but multiplying by (1/x) reduced page space of actually dividing every term by x.

[mason0444]

I feel like I'm cheating on my calculus professor with you. I think I like it....

[Daannii5]

patrick I really really love you i'm your biggest fan in the world!

[patrickJMT]

@Daannii5 thanks : )

[iHacksorzz]

@patrickJMT patrickJuniorMathTeacher? lol good lessons, thanks.

[iknowsnothin]

i totally saw =D y=1 is HA!~~

[PanzerKfW5]

RE: HA. Couldn't you simply think of x as a infinitely large (or negatively large) number divided by another infinitely large (or negatively large) number squared, which is under a square root? The limit is easily seen as being 1, or -1, respectively.

[homeworkhelper08]

Patrick my canadian teacher is killing us with ridiculous curves for our homework quizzes and she's making jokes about it!!!

how would u graph the function of (x+9)/(|x|+3) help!

[graycat1981]

The videos are excellent. One observation: It might be helpful is the presenter is a right handed person. Not terrible significant, but still significant.

[shasanni]

patrickjmt for president =)

u think u teach at temple university in philly patrick?? they need u

[odinheim]

how to do Graphing Rational Functions

[cepend1]

What would I do without you

[amarshahkot]

Alot THANKS.... u r gr8

[dhanedhar]

your videos are very helpful buddy