How to find the domain and the range of a rational function?
Рет қаралды 27,061
Жыл бұрынIn this precalculus tutorial, we will find the domain and the range of the rational function f(x)=(x^2-2x-3)/(4x-12). This is a kind of tricky question because many students will just cancel out the common factor and make a mistake on the range of the function. Be careful!
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@KambeFamily-eb9vk 4 ай бұрын
this man is really CHAD solved all my probs and i have examm tmrww RESPECTT!!!
@ara_qra Ай бұрын
respect to sir. have been doing domain and range for two grades and didn't understand as much as this 4 minute video explained. 😸
@johanndohmann1281 Жыл бұрын
nice t-shirt. good video, as usual. thanx a lot
@fieldtripproductions9717 4 ай бұрын
awesome, thanks!!
@Ninja20704 Жыл бұрын
I remember in my classes where we need to find the range of rational functions with quadratic and/or linear terms, excpet most of them could not be “simplified”(i.e. you cant cancel stuff out). The catch was them for most of them, we were not allowed to use pictures, and hence cannot use calculus(because most have max/min points which restrain the range). We had to use the discriminat of quadratic expressions to solve it algebraicly
@nguyenphungdunganh3941 Жыл бұрын
in my midterm exam recently we had to find the minimum value of a rational quadratic function and at the time, I did not know about the cross multiplying discriminant trick, so I just pulled out calculus to find the answer lol
@ponyii-hx5mz 24 күн бұрын
You teach very good
@srimanomohankumar7082 Жыл бұрын
Good video
@SomethingNiceBroo 14 күн бұрын
We're did u get that 3 did u divide 4 and 12?
@likethiscommentifyouhatebt6858 Жыл бұрын
Can you please explain fermat's last theorem please
@PhumlileNyalunga Ай бұрын
I have a school assignment question can you help
@user-ip6cf6zw5y 4 ай бұрын
i have a crush on you
@DogoBoy Жыл бұрын
How would you know that this is a straight line, and not a parabola?
@solidpixel Жыл бұрын
when you simplify the highest power of x is 1 so it has to be a straight line
@user-ww8rd6oj5u 3 ай бұрын
y=mx+c
@swam7777 17 күн бұрын
the simplified function has degree one, hence the st line
@SharonChola 3 ай бұрын
Good explanation but you are too fast😢
@Justforfunnn101 2 ай бұрын
Slow down the video speed
@LuckyDies Ай бұрын
Pickup the pace noob
@DakshRanka 10 күн бұрын
I think you are too slow 🐢🐢🐢🐢🐢🐢🐢🐢🐢🐢🐢🐢🐢
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