How to find vertical & horizontal asymptotes, domain, range, x, y-intercept of a rational function

Two examples of dealing with rational functions in precalculus. We will find the vertical asymptotes of a rational function, horizontal asymptotes of a rational function, domain of a rational function, range of a rational function, x-intercepts of a rational function, y-intercept of a rational function, and the graph of a rational function. Hope this precalculus tutorial helps you with your precalculus class.

0:00 f(x)=(2x+1)/(8x-3)
6:55 f(x)=(3x+6)/(x^2+7x+10)
-----------------------------
Support this channel and get my calculus notes on Patreon: 👉
-----------------------------
#calculus #bprpcalculus #apcalculus #tutorial #math

[reidpattis]

My personal favorite is slant asymptotes. It's just so fascinating.

[DARKi]

Another way to define the domain is
R/{3/8}
And to be fair, I used to use this notation

[pakpumet.]

This really helped me out so much thank you :)

[charlescarlliza]

the 2nd problem case is kinda unique, where there's a shorter version. linear and quadratic case

[ANNAMACHE-jj]

Why is the X-int 0, because when you use the original function its giving -2

[wuyqrbt]

Just a little different *that's it* , but sweet!
Thank you

[pneujai]

but dont we need to label the extreme values as well?