OMG...my teacher made this appear to be like rocket science, this guy is FANTASTIC! Thank goodness for you tube and people who can really explain a process.
honestly im an advanced student and nobody simply told me 'plug -x in, if its the same thing it was, its even. if its the opposite of what it was, it's odd. if it doesnt match either, it's neither. a very easy concept commonly made difficult.
f(x)=sqrt(x) f(-x)=sqrt(-x) Since sqrt(-x) doesn't equal sqrt(x), f(x) is not even. Since sqrt(-x) doesn't equal -sqrt(x), f(x) is not odd. Thus, f(x)=sqrt(x) is neither.
@kristijanadrian For the common student learning pre-calculus, neither is a valid answer. You may be correct, but that won't help you with doing a test for a pre-calculus teacher.
It is positive because once you change that first x value (x^6) into -x then the negatives cancel out because it has an even root. Other than that, everything else is positive as well. Hope that helped.
question for number 3:... the second to last equation you wrote out = -x^3 + 2x^2 -1.......... wouldnt that 2x^2 be a negative??? Correct me if I am wrong. I need to understand why it is positive.
I'm attempting to determine whether or not the square root of x is even, odd or neither. I am assuming that since the square root of x looks like x½. and since there cannot be a negative under the radical it is an even function? Please confirm or deny if possible
wait for example 3) how did u get from (-3)[in the power of]2 + 2(-x)[in the power of]2 - 1 ---> -x[in the power of]3 +2x[in the power of]2 -1 ... isnt it supposed to be -x[in the power of]3 + -2x[in the power of]2 - 1 ??
The reason 2x^2 is positive is due to BEDMAS, the exponent -x^2 becomes positive and then all one has to do is put the 2 in front of the question, resulting in a positive 2x^2.
Depends on your proffesion. 75% of well-earning and usefull-to-society proffesions will use this. ofc, if you will be a window's cleaner, you will not.
because for the first example: x^5-2x^3 was proven not even, you are then trying to see if the function is odd. so in that case you have to factor out a -1. once factored the -1 the function is odd
Beautiful, this short 5 minute video is straightforward unlike the rest of the videos. Thank you.
omg thank you i finally understand how to do this
I paid $190 for a textbook that made this super confusing. My goodness, youtube is amazing. Thank you!
This video is only about 6 minutes long and it helped me more than my professor could in 40 minutes.Thank you so much!
Sir u are a great teacher and help students out when their own teachers cant teach.
OMG...my teacher made this appear to be like rocket science, this guy is FANTASTIC! Thank goodness for you tube and people who can really explain a process.
Dude.... thank you so much. You are so much better at explaining this stuff than any of the T.A.'s at my school.
jesus christ that was easy, cheers dude :)
You're the real MVP
What a great video you have out together!. Thank you for taking the time to explain this in such a clear way =)
Thankyou soooo veryyyy much. This saved me in my finals. I was struggling with this before I saw your video. Thanks again.
:-)
9 years later and still helpful
yes sir this helped a lot. my teacher took a day explaining this, i didnt get it. and now i got it in 5 min just by watching your video.
Good Video... I have a test in 30 minutes and wasnt too clear about even, odd functions and this helps greatly!
what would i do without online math youtube tutors. Thank you good sir!
This was so helpful!! Thanks for the video.
This video helped me understand much better! Thank you for your help! math test is monday. thanks once again.
Thnx for the video ...I really learned the process of determine even or odd function with only one view... Excellent teacher!
thanks you so so so very much. you have shaved like 2 hours off my study time, and probably helped me get an A on this test :)
i have a test on all this and you explained it a heck of a lot easier than my teacher :) thank you!
You should totally make your username Randerson. First thing I thought of.
Then I got a lot of help, thanks for the vid!
thank you man, you're a life saver!
This is amazing. Thank you. I am so tired of math teachers making everything so much harder than it needs to be. Thank you for making it easier.
Thank you my man, you saved me bout couple hours worth of struggle
honestly im an advanced student and nobody simply told me 'plug -x in, if its the same thing it was, its even. if its the opposite of what it was, it's odd. if it doesnt match either, it's neither. a very easy concept commonly made difficult.
f(x)=sqrt(x)
f(-x)=sqrt(-x)
Since sqrt(-x) doesn't equal sqrt(x), f(x) is not even.
Since sqrt(-x) doesn't equal -sqrt(x), f(x) is not odd.
Thus, f(x)=sqrt(x) is neither.
Thanks a lot dude. it seems like im actually learning more on youtube than i do in lectures
@kristijanadrian For the common student learning pre-calculus, neither is a valid answer. You may be correct, but that won't help you with doing a test for a pre-calculus teacher.
What happen to example 2
3(-x)^2 =3x^2?
Is it not -3x^2?
naaah , square of any variable is positive only
even if it is in negative or positive
Thank you man!! The explanation was great!#
what do you do when their is no negative to factor out of the f of x when looking for negative f of x
Funny how this 5 minute video explains this concept more clearly than a one hour lecture, Thanks a bunch man.
It is positive because once you change that first x value (x^6) into -x then the negatives cancel out because it has an even root. Other than that, everything else is positive as well. Hope that helped.
Thanks from Kazakhstan!
Great video! Big help for my exam
Thank you it's so easy now
How can you determine algebraically if the function is symmetrical across a certain line, eg. x=2?
question for number 3:... the second to last equation you wrote out = -x^3 + 2x^2 -1.......... wouldnt that 2x^2 be a negative???
Correct me if I am wrong. I need to understand why it is positive.
Thank you so much!!!! This what such a clear explanation
I'm attempting to determine whether or not the square root of x is even, odd or neither. I am assuming that since the square root of x looks like x½. and since there cannot be a negative under the radical it is an even function? Please confirm or deny if possible
thanx alot....U just made my maths life easier.
Be careful. (-x)^2 means (-x)(-x) which goes to just x^2. Thus, we get 2x^2 for the middle term.
how to determine if it is symmetrical?
Fantastic very well explained
You make it easy dude THANK YOU!!!!!!!! :) :) :D
Thanks Man i realy appretiate it
This video REALLY REALLY helped me... Thank you!!
where did those x came from :(
what if the equation is y=1-cos(x)
does that mean that this one is neither??
wait for example 3) how did u get from (-3)[in the power of]2 + 2(-x)[in the power of]2 - 1 ---> -x[in the power of]3 +2x[in the power of]2 -1 ... isnt it supposed to be -x[in the power of]3 + -2x[in the power of]2 - 1 ??
You are the best. Thanks lots
Thank you so much! VERY helpful & easy to understand!
great thanks alot very clear and practical and understandable
damn finally a person that can explain this well!!!! jeeeez.... thnx a lot sir
find f[f^- (2)] if f(x)=[((x-3))/3x]. Is the function ff^(-1) (x) odd or even
Thank you lifesaver! Same with other people. my teacher isn't very good at explaining....
The reason 2x^2 is positive is due to BEDMAS, the exponent -x^2 becomes positive and then all one has to do is put the 2 in front of the question, resulting in a positive 2x^2.
Great teacher!
Thank you! def helps!
Thank you so much! Wish you were our video class teacher in BJU or A Beka! :)
thank you for explaining this, it really helped! and it was very easy to understand! :D
wow, thanks!! that really helped. :D
Great video. It would have been nice to see the graphs of even and odd functions though
i need this for our prject. :D thanks !
holy cow this was easier than I thought. My teacher made it seem very hard =/
Has anyone ever told you you sound EXACTLY like Casey Affleck? P.S. Great video.
HOLY BALLS. Thank you. My teacher sucks.
Extremely helpful.
thanks! this helped so much
You're welcome. Study well.
if only i had found this before the test :P
CLAP CLAP WELL DONE!!! I SEE THE LIGHT THANK YOU SIR
OK I UNDERSTAND WHAT YOU TOLD AS BUT TELL AS HO TO FIND NETHER OR ODD PLEASE
THANK YOU!!
Thank you this really helped
great stuff very helpful
why math is hard ?
are we going to use this in our real life ?
Depends on your proffesion. 75% of well-earning and usefull-to-society proffesions will use this. ofc, if you will be a window's cleaner, you will not.
yeah thanks very much
lies
no not that. I was saying thanks to the guy for explaining this.
Markas Černiauskas hahahah answer is on point
And they say you have to get use to prof and there ability to speak english thanks man :P
I would like to watch the symmetry video..
great explanation!! thank you very much. keep up!!
Holy fuck how do u do it of it is in factored form
helps a lot! thanks!
Great explanation.. Thank you so much!
Thank you, very helpful:)
i know this video is almost 11 years old but thank u
I seriously wish u were my teacher
Infinite thanks !!!
Excuse me but isn't 2(-x) is -2x why did you write it as positive like this 2(-x) is +2x
First Queen subtracting a negative gives a positive
you're gold dude
Thank you so much
Thank you!
THANK YOU SO MUCH
this helped me
thanks a lot
;)
thank you so much!!!!!!!!!!!!!!!!!
Thanks for the vid!
why do you factor a -1 out?
because for the first example: x^5-2x^3 was proven not even, you are then trying to see if the function is odd. so in that case you have to factor out a -1. once factored the -1 the function is odd
+Claudia Tellez thanks
YOU ARE MY SAVIOR. THANK YOU! :)
Thank you sir!!!
Thanks man
You're welcome.
thanks:)
Thank you