How To Find The Range of a Function

[@TheOrganicChemistryTutor]

Domain & Range - Free Formula Sheet: bit.ly/4eheN2W 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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[@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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[@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 bro 🙏 Namaste from India 🇮🇳

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

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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.

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

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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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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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[@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.

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

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[@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

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

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[@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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