The four end behaviors of polynomials

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The end behavior of a polynomial tells us the direction a function goes as x approaches positive or negative infinity. Using just the coefficient and highest power of a polynomial we can determine the end behavior.

Some images made using Geogebra.

0:00 Introduction
0:20 End behavior of 6x^4+5x^3-2x^2+x-20
1:48 The four types of polynomial end behaviors
3:14 End behavior of -0.5x^5+5x^2-x+1
4:03 End behavior of 2x^3-x^6+2x^7+2
4:47 Starting with graph and working backwards

#polynomialendbehavior
#polynomials
#graphingpolynomials
#JoeCMath
#precalculus
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Thank you so much for making these videos, really helping me out in my online class for MS112!

carolinecaffee
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Nice video. What software do you use for your videos? I've been looking for one to make a few videos of my own but haven't found one that I've liked. I tried to use Manim but it was far too complicated for what I want to do. Any suggestions?

TheAmInventor