Domain and Range of a Function: Soup to Nuts

Posted by admin on 2010-09-06 Leave a comment (25) Go to comments

midnighttutor.com for the FREE FULL and LARGER video! CALCULUS tutorial on domain and range of a function and all the cases for which you need to watch out.

MathematicsDomain, function, Nuts, range, Soup

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25 Comments.

smilecolorsan 2010-09-06 于 6:05 上午

i love you midnighttutor!!! thanks for spending your time trying to help people learn math and stuff.
supahebak 2010-09-06 于 6:05 上午

FUCK YOU DUDE! HAHA YOUR A GYM TEACHER NOT A MATH!
snoopdogsballs 2010-09-06 于 6:41 上午

@midnighttutor
Nice response to justify your stupidity, you ogre.
High school students have a better understanding of this than you and they are seeking further, in depth explanation.
What do they get? An idiot who advertising that shit of a site as though his work is worth listening to, which is advertised for an excessive period of time.
The rest of the video, as implied, isn’t any less dispicable.
hhoollaa27 2010-09-06 于 7:37 上午

holy shit, he jumped through time at 4:47
zaloniii 2010-09-06 于 7:41 上午

Dude Y can’t be negative!! The x is SQUARED!! So it has to be greater than or equal to zero. :-p You’re WRONG!!
Lomns 2010-09-06 于 7:56 上午

God u r so damn handsome.. so thanks for going over this. makes math more interesting
carliefischerful 2010-09-06 于 8:01 上午

more like mid”NIGHTMARE”tutor… all real numbers? seriously?
zramdeen 2010-09-06 于 8:51 上午

wasting time ??? .. not necessarily… watching videos about these stuff are kinda like a review or a way to refresh our memories….
zramdeen 2010-09-06 于 9:26 上午

shouldn’t it be {YeR| y>=0} as the range of X^2
wmcdougald 2010-09-06 于 9:30 上午

So this is what Brett Favre does in the off season…
naomi1431 2010-09-06 于 9:39 上午

Oh. . . sorry I forgot to sandwich my feedback for you! My bad. I was thinking you had no feelings, like me.

Overall, I thought your video was *great*, which is why I posted a link for my students.

As far as those other people who actually pay attention, they could all be math teachers too lazy to make videos themselves, but hoping that their students will watch a video if they post a link-that’s what I am.

Thanks for your video! I thought it was good-probably better than I would have done!
midnighttutor 2010-09-06 于 10:06 上午

I always find it ironic that the people who seem to watch my videos an pay attention to every second of it are the ones who already knew the material and were essentially wasting their time….
naomi1431 2010-09-06 于 10:28 上午

The denominator cannot be 0, so x^2 – 16 is not 0. Factor and you get x cannot be 4 or -4.

Thus, the domain is {x | x is neither 4 or -4}.

To find the range of this function, I would use the quotient rule to take the derivative and set it to zero. Solve for x. Then substitute this x value back into the original function to get the minimum range value. Your range will be {y|y> or equal to that value.}

Hope this helps!
naomi1431 2010-09-06 于 11:06 上午

You say that there are no restrictions on the domain and range of f(x) = x^2. However, it seems to me that while the domain of this function is {x | x is a real number}, the range should be {y | y is > or = 0}.

Care to comment?
xXsemiaznbabeeXx10 2010-09-06 于 11:31 上午

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

whats the domain and range?
plasmadragon1998 2010-09-06 于 11:35 上午

The first example of y=X^2 has a range of Ygreater than 0 not all real numbers lol
jdudeJmusicAforlifeC 2010-09-06 于 11:41 上午

9th grade is supposed to be learning linear functions at that grade level in the United States.
rockerresident 2010-09-06 于 12:16 下午

i like to listen to him..he act and talk manly..unlike other teachers
sunshine3621 2010-09-06 于 12:16 下午

How about finding/graphing a domain of a function with two variables.
rjgaumer 2010-09-06 于 12:34 下午

i am in 9th and we learned it
rjgaumer 2010-09-06 于 12:58 下午

i am in 9th and we have learned this crap
2JobsStillPoorUSA 2010-09-06 于 12:59 下午

Please sir:
1. Slow down… you are slurring your words.
2. Write larger… can’t see it even on full screen.
3. Soften your voice, sounds like you are yelling.

Thanks
houchi69 2010-09-06 于 1:55 下午

I KNOW!
I wish my calculus teacher was that hot, i would have totally gotten an A in the class
guessguyt2 2010-09-06 于 1:56 下午

This guy’s HOT!
gamesguru 2010-09-06 于 2:34 下午

This example is typical of 10th grade curriculum. In their senior year (12th grade and last year of high school), most students learn the basics of calculus.