How to write informally the end behavior of the leading coefficient test

How to write informally the end behavior of the leading coefficient test

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains the end behavior of polynomial graphs based on their degree and leading coefficient. For even degree polynomials with a positive leading coefficient, the graph rises to both the left and right. For odd degree polynomials with a positive leading coefficient, the graph falls to the left and rises to the right. An example using a fifth-degree polynomial is provided to illustrate these concepts.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What can you say about the end behavior of a polynomial with an even degree and a positive leading coefficient?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the general behavior of polynomials with an even degree when the leading coefficient is negative?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the behavior of a graph as you move to the left on the X-axis for a polynomial with an odd degree.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens to the graph of a polynomial with an odd degree as you move to the right?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the end behavior of the graph for the function F of X = 3X^5 - 7.

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