How To Find The Range of a Function

[@TheOrganicChemistryTutor]

Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Functions and Graphs: kzbin.info/www/bejne/kIWop2uFo6yUrtE Transformations of Functions: kzbin.info/www/bejne/qqq0faNsrZJ6pbc Graphing Polynomial Functions: kzbin.info/www/bejne/qICylpmaprKpqqM Next Video: kzbin.info/www/bejne/p4LKh6Kjnp2fecU

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[@Andrew-iz2ev]

I need a part 2 video for how to find the range of a function that has fractions, fractions with quadratics in them, and fractions with radicals in them

[@FrostyPlayzYT]

same

[@eoghanqt2684]

@@jadonw192 where

[@mohammadriyaz9831]

Yes, please upload

[@goodbye_py]

Hey, why don't you just plot the function and see where it goes might be more simpler. Getting a graphing calculator might also help you out.

[@dddaaa6965]

@@goodbye_py BIECAUSE I DONT KNOW HOW TO PLOT A FRACTION TO BEGIN WITH f(x) = (z+3) / (z-3) I DONT EVEN KNOIW WHERE TO BEGIN

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@@chrish1257 reminder that this comment was made 9 months ago, a lot could have changed since then (online classes with no teacher, therefore youtube, etc)

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@@iwanttosleep9802 I'm his subscriber since last year. He got million subs even before I discover his channel

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Thank you. You explained this quicker and better than my algebra II teacher did today.

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So helpful, lots of content covered within the shortest time possible. Thank you so much

[@lyndseystrait1513]

Whenever the leading term has an odd power, the range will be either - infinity to infinity or vice versa. Whenever the leading term has an even power, the range won't be negative infinity to infinity but instead be limited (by transformations, etc). If is a quadratic expression w/ even leading power, may have to solve for the vertex by using the formula -b/2a to find x & then plug that value in to solve for y. 7:11 Absolute value functions transformations with corresponding ranges. 9:12 Radical function ranges & graphs (sign outside of radical & inside by x determine which quadrant line will be in). 10:09 For transformed radical function.

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MR. Organic Chemistry Tutor, thank you for graphing and showing How To find the Range of a Function.

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Can you also teach how to get the range and domain without a graph please 🥺

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I'm studying in of the best high schools in my country but this man explains the topic we're learning better than our teacher.

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Thank you so much for the effort you put into this!

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So helpful. Finding it useful as a student

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I was so confused about this topic, your video helped me a lot

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[@juniemoe3450]

Your explanation is so clear to memorize, I got lucky that I watched your video before a few hours of my final exam which I was struggling to finding a range, domain and graphing in most parts..... Thank you so much...

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Thanks for this wonderful explanation 🥂 Getting to an examinations room now with confidence ☺️

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Your videos are a 💣. Thank you very much, I'm kind of lost though on the 3rd and 4th graphs where you said they are shifted to the right, but I'm seeing negatives in the absolute bracket. Can I have an explanation please.

[@thestylusguy]

Horizontal shifts are inverted. For example, if it says x - 3, it shifts to the right. If it says x + 3, it shifts to the left

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[@Neeraj-qr1wh]

Omg finally I understand that how to take range of a function Thanks

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Me watching this video within two hours of my math final

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You did a really good job explaining this

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can someone tell me why three is graphed to the right and not the left even though its negative? Love the vids!

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I am weak to find range but now i hope i am abale to find range .I am Bangladeshi. Take love and respect sir .Thank you so much sir.

[@yametekudasai5129]

Sir, I have a correction, in the first problem if we apply y=mx+b, the slope and the run would be (1,1), so the graph should extend infinitely to the 2nd & 4th qudrant.

[@williamsmall808]

Which one are you talking about... If you are talking about the first thing he ever did than you are just wrong. It would never go to the 4th quadrant... So what is your correction

[@aryanaman9812]

yea just enter the equation in desmos and see he did it right

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You sir, are a master.

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I swear to allah up to this video i didn't understand how to find range of function but after the video Allhamdullillah i understan I'll like to say thank you allh bless you man

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nice video it is easy to understand for short time of span

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Thank you very much, this video brought up points that are so useful, particularly around 5:07. I hope you know that your video helped a desperate student out.

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2:58 , I was actually checking for this equation, if you don't believe check the question of first chapter in NCERT exemplar 12, and yeah I love your voice

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[@Art3mis_XO]

At 6:30 why wouldn't the minimum point be at -2,-3? Shouldn't it move to the left instead of right? Or am I wrong?

[@sravaniposani4041]

I literally have a test tomorrow and I understand absolutely nothing, but hopefully this video helps me.

[@drmdfazlulbari8043]

little confusion. Is not the rang, corresponding lowest value of x. Means where lowest value of x giving y value. Please clarify it. Thanks a lot. However your class is nice and easy to understand.

[@jzcqt4295]

the last part should be (+ infinity,4]not - infinity goes it goes to right side (+)

[@leviackerman3545]

Nope it's correct Y axis is considered not X axis The graph goes to negative y axis

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[@David-c8v6u]

i wanna ask, when the x is negative, isn't it supposed to be on the left rather than the right?

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[@Iffat-id9js]

Is there anyother class of how to find domain and range without graph?

[@sahranourr]

at 3:56 the function x^2-4x+5 does not have any x, because b^2-4ac= -4 so there is no x for the function.

[@حنانالقحطاني-ذ7ل]

you are helping thx and keep going

[@zainman1472]

hey amazing video, but what if were r given the domain instead of pos or neg infinity , then how would we be able to find the range ? HELP ⚠️

[@JatPhenshllem]

Plug in the variables that act as domain, the result/range is your solution, express it as an inequality

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