Graphing Rational Functions

[YuhGee]

beautiful

[shishou13]

all I knew was that this thing appeared--> (0,0)

nah, actually it helped a lot. thanks!

[legendkilla023]

Best video out in my opinion

[Chie321F]

great video.. thank you

[raptors551]

great video, i was just wondering wen u start at the "find extra points" how do u do that? for the first one with -3 do u sub it into something?

[waszel]

@raptors551 Yeah, we're finding f(-3), this means to substitute -3 in for x into the function f(x). That will give you the y-value that corresponds to -3.

[emmitcannon]

Wow, thank you so much. I had totally forgot how to manually plot rational functions, and everything I turned to for help just told me to use a calculator to find the graph. Thanks for spelling it out for me.

[madaznboy]

WHAT IS THIS ALIEN LANGUAGE!?

[Rackal14]

This helped a lot but I have a question. When u are graphing the line in the 2nd quadrant and doing that by finding f(x), well are you just randomly picking numbers to use as x? And how did you get f(-3)=7 and so forth??

[waszel]

@Rackal14 Yeah, it's kinda of like picking random numbers. After all, you do have an infinite number of numbers that you can choose. I just chose numbers for x that were close to the vertical asymptote. If you're not sure why/how f(-3)=7, then I recommend checking out my video titled "Function Notation".

Study well.

[raptors551]

@Rackal14 i was wondering the same thing, do u know how now, cuz i stil dont

[jessicaaa618]

helped, but when you were plotting extra points, and solving the x and y intercept you didn't show your work, and you lost me. It did help with how to graph them though.

[MsKryssy86]

Screw tutoring...I'll just look at your videos! Thanks for this! Very helpful

[alyalibhai]

I am soo much more prepared for my test. Thanks a ton. This actually is wayy better than when my teacher explains it.

[alyalibhai]

I am soo much more prepared for my test. Thanks a ton. This actually is wayy better than when my teacher explains it.

[mercipourlevenin16]

how do you find the domain and range of a rational function?

[waszel]

@drinkwata I use ScreenFlow to record my desktop, and Photoshop for the writing/drawing of the mathematics.

[TheTruePathIslam]

Thank you soooooooooooooooooooo much for this amazing video!!!! I swear you explain this WAYY better than my precalc teacher. Thank you again.

[meke26ny]

darn I wish you were my math teacher, mine sucks....she doesn't explain in this much depth...thank you.

[minhmeo1209]

This is great. I hate tutorials on youtube that doesn't show the graphing at the same time with the teaching. This is great

[mgonzalez7123]

thanks. i am taking an internet course for math, so this really helps.

[RuffinPixieGirl]

You should be a teacher because you explain it SO MUCH BETTER than my Pre-Calculus teacher does. Nice job, waszel! Keep those videos coming because they are seriously helping me in my class!

[waszel]

Thanks. I am a teacher. I've been teaching mathematics since 1992. I'm glad the videos are helping. Study well!

[mathphonetutor]

Nice job! One thing, though, at about 3:30 you began to look for a couple of points to see what the function was doing to the left of your vertical asymptote. You didn't really need to do that. There were no X - Intercepts over there, so there was only one place the function could be - above the horizontal asymptote.

[waszel]

Thanks. Yeah it has to be above the horizontal asymptote, but it's not just anywhere above the asymptote. I found those couple of points so I would know exactly where the graph was supposed to be and thus have a pretty good graphical representation of the function.