Thank you! Khan academy is helping me identify and fix all the holes left from my high school algebra career (they are many) and for the first time I'm really understanding the theory behind it! Understanding it is really making me enjoy math and giving me confidence that I'll be able to handle more advanced courses c:
Think of it this way: add in the term of the same degree to the numerator with a coefficient of 0. So for example, (x+1) / (x^2) would become (0x^2 + x + 1) / (x^2). Horizontal asymptote is the coefficients of the highest degree terms, (numerator / denominator). 0 divided by any # is 0. So in the example, (0x^2) / (x^2) is 0/1 which is 0. So the horizontal asymptote is y=0.
I learn more from your videos than my prof. I can barely even understand a word he says. I don't go to his lectures anymore instead I skip and watch your videos. Thank you.
Because teachers start with definitions and generalized examples and you just get bored, so you probably start playing games on your phone or something like that. I know i do. If every new lecture would start with easy example so we know what is going on, everyone would listen and understand it..I have an exam tomorrow, and sadly, that's why I'm here..
@Muusicca you do know that nothing is misspelled right? "proofing" and "proving" are different things, both are mechanically and grammatically correct and "proofing" was correct in this context.
Thank you so much!! I watched videos showing me how to algebraically find asymptotes but none ever showed me what they really look like & their true meaning!!!!
higher than any fireworks display, longer than any empire is the pure flight of the curve seeking infinity. (A little philosophical poetry about this topic) Why the heck not?
We had a pop quiz today on graphing radical functions without a calculator. We had to know the domain, range, x-int, y-int, v adymptote, h asymptote, holes, whether it was cont., and if so, points of dcon. As well as graph using specific points. She gave us 10 min to do two probs. You can guess how that went.
I tried watching both with split screen but my vertical asymptote got very large so i stopped porn and let my asymptote cool down and now i understand vertical asymptotes! coooooooool
Hi! Thank you for sharing your knowledge! Can we use this video for our research as one of our sources? Surely we will greatly appreciate your consent and we’ll make sure to cite your video properly. Thanks!
if the denominator cant be factor in order to find the horizontal asymptote do i have to use the quadratic equation in order to find the zeros of the rational functions?
hi, i have a question. When the numerator is less than the denominator (the degrees) i know that it is "Bigger Bottom Zero" as my teacher taught it and the horizontal asymptote = zero. I want to know why that happens. Please respond when you can. Thanks Sal
Somebody please reply!! Okay, so he said that a rational function is a fraction with a polynomial as the numerator and denominatory, and starts out with x^2 as the numerator. But isn't x^2 a monomial, since it's one term.