Ultimate Math Function Tier List

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Welcome to JensenMath! 🎓📐 In today's video, we're diving into the world of functions with a fun and informative tier list ranking the top 10 most common functions used in high school mathematics. This video covers functions like the absolute value function, trig functions, linear functions, log functions, and so much more! Join me as I explore each function, discuss its importance, and see where it lands on our tier list. Do you agree with my rankings? Let me know in the comments!

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#Math #HighSchoolMath #Functions #MathTierList #JensenMath
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jensen I just wanted to say ur website is helping me so much preparing for my next years math. just wanted to show my appreciation without ur website it would be hard .thank u

sampreetsandhu
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Wonderful! Helpful graphics!
BTW, Exponential functions def S-tier

mathtrixmusiclix
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In Alg 2/trig u learn all of these plus the cosine function

hypershadow
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Might be the first time getting a Tier list from a experienced teacher.

fpvkwjg
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I just want to say smt about the square root functionwe dont consider the negative root this is because the square root of x is the inverse of f(x)=x² which, however is NOT Bijective over ita entire domain.In particular it is surjective but not injective, so to avoid voiolting the definition of a function(2 outputs for 1 input) we consider the square root to be inverse of the function f(x)=x² where x is greater than or equal to 0, as it is bijective over that interval and therefore has an inverse.Now, thedomain of that inverse is equivalent to the range of the orginal function with the given domain restriction which is [0, ♾) so thats the domain of f^-1(x)=sqrr(x) and similarly the range of the square root funcyipn will be equivalent to the domain of its inverse, but since we showed that x² is only bijective for all x greater than or equal to 0, or less than or equal to 0, and we restricted its domain to be from 0 to infinity thats why the range of the square root function will only be from 0 to infinity as well.And since the negative root produces negative outputs, which are outside of that range, we dont consider it when talking about the square root function because the outputs will be out of the function's range.😊

Georgeclassified
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Quadratic and linear functions are a Tier

halftendedifiebf
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Did you know that if you take the graph of the non-principle square root of x, you get a sideways parabola?

TaranVaranYT
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I think you forgot parametric equations

Gd_Monsterforce