What is the leading coefficient test?

What is the leading coefficient test?

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the leading coefficient test for polynomials, explaining how to determine the end behavior of polynomial functions without graphing. It emphasizes understanding through visual representation and discusses the behavior of polynomials with even and odd degrees. The tutorial also introduces mathematical notation for describing end behavior, aiming to enhance comprehension without relying on memorization.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the degree of a polynomial and its end behavior?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the end behavior of a polynomial function with an odd degree and a positive leading coefficient.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the end behavior of a polynomial change when the leading coefficient is negative for an odd degree?

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