Graphing Polynomial Functions Using End Behavior, Zeros, and Multiplicities

Рет қаралды 331,121

3 жыл бұрын

Learn how to graph polynomial functions using end behavior, zeros, as well as multiplicities in this video math tutorial by Mario's Math Tutoring. We discuss how to find the zero through factoring and the zero product property. We also discuss whether the graph is going up or down to the right using the leading coefficient test and the degree of the polynomial. Lastly we discuss what the graph of the polynomial looks like when the multiplicity of the zeros is 1, 2, 3, or more. We go through 3 examples to illustrate this concept.
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Пікірлер: 167

@blissbenson3163 3 жыл бұрын

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@sejintennant8542 Жыл бұрын

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@MariosMathTutoring 7 ай бұрын

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@yourmathtutorvids 3 жыл бұрын

Thank you for the refresher!! Haven’t thought about polynomials in years 😅

@jamesbyrne6232 3 жыл бұрын

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@austinstoneman8257 Жыл бұрын

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@reynoldprajogo531 3 жыл бұрын

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@erikadahlqvist6545 3 жыл бұрын

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@fitquipltd6788 2 жыл бұрын

Thank you for an easy to understand explanation.

@andrewc736 3 жыл бұрын

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@penelopeperez9558 3 жыл бұрын

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@stephanie9810 3 жыл бұрын

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@ForbiddenFroots 4 ай бұрын

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@MariosMathTutoring 4 ай бұрын

Glad to hear my video helped you!

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@user-pl2kd9vm8z 5 ай бұрын

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@sarvaryusupov7108 2 жыл бұрын

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@neelkhairnar1822 Жыл бұрын

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lol

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@AshalakVeerSingh 28 күн бұрын

Nicely solved

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Glad my video helped you!

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Glad it helped!

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@Aksafos 2 жыл бұрын

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@ayarpireganyan5149 Жыл бұрын

Thanks Mario, this was so helpful!

@MariosMathTutoring Жыл бұрын

Glad it was helpful!

@augustineaboateng9707 2 жыл бұрын

Mario, you are so helpful, God will bless you forever. Please when the function is not in the factorized, what is the approach in graphing?

@NIPOON_nhoon_THOMPAT Жыл бұрын

Thank you teacher Mario.🙏☺🙏

@MariosMathTutoring Жыл бұрын

You are very welcome

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Thanks

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@MariosMathTutoring 7 ай бұрын

You're welcome 😊

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@xiaosongwu6744 Жыл бұрын

Great video, thanks! Suggestion: in 2nd polynomials, it was written “- x^x = 0” well, -1 is actually the leading coefficient, not part of the first factor/term. In the video, it went on by multiplying -1 on both sides of the equation to get to x^x = 0, which is completely unnecessary and quite confusing. We just need to recognize -1 being the leading coefficient, to avoid the confusion.

@emmasnyder8987 Жыл бұрын

thought maybe i was stupid but now i realize maybe my college professor isn’t the greatest at explanations 😃

@SoyJeremiah 3 ай бұрын

AWESOME

@MariosMathTutoring 3 ай бұрын

Thanks 🤗

@kylinruiz71 Жыл бұрын

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@SpookyButtz 2 жыл бұрын

Thank you for making this video, I used these when doing my math class and now I have all my math credits to graduate! Good luck to anyone reading this and is still doing their maths. It sucks but I know you can do it!!

@ta2010ist 4 ай бұрын

Please add this question too. Write an exact equation for this polynomial function using the additional point provided. Assume all zeros are integers.