Math Functions & Techniques : How to Find the Domain & Range of a Function

[razzypoop]

this guys annoying

[prowsey1993]

ok. so say you have the function: f(x) = sin(2x) + cos(3x). what would be the fastest way to determine its range?

[exoticdhillon]

why r u just doin simple questions, go to something more complicated!!!

[muhammedahmed1000]

so what if its x squared

[shimanchunutakara]

@muhammedahmed1000 Any number can be squared, so the domain is the set of all real numbers.However, since the values of y cannot be negative, making the range the set of all nonnegative numbers, or in interval notation.

[49mdog]

Pause at 0.09 he wants a kiss

[AnaLilian1994]

@49mdog you dont have a live but that was funny! lmbo

[Gwtp09]

pause at 0:03 He so sexy.

[xXSabzzXx]

Whats the "Image" of a function? i'm so confused :s

[rosemellor]

pretty sure the y values would be all real numbers, as the square root of a number has a positive and a negative value.. confused!

[girlee32114]

@rosemellor Actually no, when you see a surd (square root) you assume it's the positive square root unless the +- sign is to the left of it.

[gbuitronccc]

i'M COMPLETELY LOST :(

[KevinTopPeteBottom]

Why are you using a purple marker?

[ikkinnikk]

@KevinTopPeteBottom cause purple is awesome ^_^.

[RazorCallahan2424]

thanks jimmy chang!

[Msmmyeahmm]

stil dont get it.

[D34thD4y]

Gotta admit im in year 7 and i understand this :D thanks

[NoLimitzGaming]

AMAZING! thanks

[prowsey1993]

i would prefer if there were a few harder examples where the range is not that obvious..

[grumpybritishguy]

@prowsey1993 that's how it always is. why can't the examples be like actual examples, not the real problems stupid relatives.

[beezer139]

you suck dude...

[CCStunna]

Jimmy Chang > you

[willyswalrus11]

u possibly just saved me tomorrow for my quiz. thanks a TON!

[yeong92]

Indeed, great explanation. Thanks =D. But, why not provide more examples? Will be much appreciated =D

[TheClearRain]

When he says glimse, he really does mean glimse. Its barely an in depth look unfortunately.

[AtomicHercules]

How does one find the domain and range of Jimmy Chong's fat stomach? Lay off the egg rolls, bro before you get so fat that YOU can't FUNCTION.

[kungman190]

very clear explianation 

[christel25lpz]

more examples pls

tnks 

[akatsukianbu]

You're awesome.

[Kill00B]

Thank you ;-)

[amjPeace]

Jimmy, shouldn't the range on the radical of x include negative numbers? For instance, the square root of x when x=4 could be plus or minus two.

[ferny5ando]

@amjPeace He was talking about square root functions. If the range included negative numbers it's no longer a function. Of course, he could have had the negative square root function as an example instead but sometimes you want to be careful not to say too much in order to avoid confusion.

[asgbdhj]

uh.  ok?

[JeaHSaren]

I wish you would have spent another 30-40 seconds giving an example on how to find the Range if the range is different from the Domain. Until the last 4 seconds, it seems like the Domain and the Range are always the same. I still don't truly know how to find the Range now.

[enigma887]

I love his positive attitude towards teaching!

[aladinCofu]

I love every inch of you and more. You are absolutely amazing. Thank you Jimmy Chang.

[astt171]

Thank you so much for making these videos. They always help me in quizes and tests.

[casanovaluver]

it can't be greater than or equal to 0. it has to be greater than 0

[333matt1230]

@casanovaluver Incorrect. square root of 0 is 0. its possible

[iTormenTi]

Square root of 0 = 0 so it is a real root.

[xXsemiaznbabeeXx10]

(x+2)(x-3)/x^2-16

whats the domain and range?

[Death10014]

@xXsemiaznbabeeXx10

If im not mistaken X can be any real number except for 4 and -4

[sloth245]

jimmy ur awesome!!!

[KayKrazie]

oh, i c, that makes more sense now, y didn't i realize that in class, duh???

[savages9]

thanks...u made it a little more clearer for me sir...Can u please state 2 more examples?