Could you please give examples of how to find a rational function when a hole. vertical asymptote and slant asymptote are given? It's like the opposite when a rational function is given and you have to find the asymptotes. thank you
what if we didn't cross or we have forgotten to cross the (x+3) and so we devided the whole function the oblique asymptote is considered as a wrong ? 🤔 and thanks a lot for the explanation hope you'd answer me ! 😄🤓
Hey, awesome video. one question, the function can b written as g(x) = Quotient x Divisor + Remainder. Why cant the denominator of the remainder be the quotient instead of the divisor?
This man helped me pass Precalculus, God Bless your soul Patrick.
You just made me doubts clear. Thank you so much. I am so poor in mathematics but your videos are helping me a lot.
At 3:19, X = -3 is not a vertical asymptote, because (X+3) is a factor of the numerator. So only X = =-5 is the vertical asymptote.
+Josh Kim yeah thts true
+Josh Kim yeah both (X+3) on the numerator and denominator cancel each other out.
@@michaelonwuamaegbu1637 Then it's a hole.
do we always use long division when we have oblique asymptote ???? @patrickJMT
Thank god i found this channel!!
Bro you are the GOAT!!!
Thank you! I'm taking online precalculus and the videos on the subject were very confusing and moved too fast without explaining
I can just smell the sharpie from my screen. Great video though!
Thanks so much, made it easier for me to understand.
how do u know that there isnt any horizontal symptotes
+Andrea Hammond Horizontal asymptotes only occur if the degree of the numerator equals the degree of the denominator :)
+Andrea Hammond the degree of the denominator > the degree of numerator or top degree is greater than bottom degree so it has no horizontal asymptote.
@@glenysminier6466 no if top is less than bottom or when top power is equal to bottom
thank you finally this will help me in furthering my studies..
Could you please give examples of how to find a rational function when a hole. vertical asymptote and slant asymptote are given?
It's like the opposite when a rational function is given and you have to find the asymptotes. thank you
Find the equations of the asymptotes of the following graphs y=(3-x)/(2x+5) y=2/(2x+1)
what if we didn't cross or we have forgotten to cross the (x+3) and so we devided the whole function the oblique asymptote is considered as a wrong ? 🤔 and thanks a lot for the explanation hope you'd answer me ! 😄🤓
Hey, awesome video. one question, the function can b written as g(x) = Quotient x Divisor + Remainder. Why cant the denominator of the remainder be the quotient instead of the divisor?
When you crossed out (x+3), does that make a hole in the graph?
the long division always confuses me
ahaha that's okay i ain't never going back to precal 11 or any sorta math ever again
how?
I ONLY use synthetic division.. long division is too much lol
@@Amy-tw3zh and if the denominator isn't a linear function?
Thank you so much! This helped me a lot
Thanks a lot Patrick!
Pretty smart dude how you get that smart... long years of practice.
*Almost 900K lets goo (to that gold play button woo)*
yea, slowly getting there :)
Patrick can yu plz help me by telling how can we draw graphs on a graphic calculator if we don't know the y min and y max
Finally a hard problem to solve. Thanks
wow calc is so much more about algorithms than algebra 2!
sir pliz send short triks for asymptotes
thanks helped alot
Awesome!!
I love you!!! lol thanks so much
hey thanks man
I like it.
Umm that’s a slant asymptote I’m pretty sure
u r wicked smaht
Notice that he says notice a lot... lol couldn't help myself... okay I'll just go back to failing math bye...
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