Polynomial End Behavior Review
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the end behavior of a polynomial function with a leading coefficient that is negative and an odd degree?
Back
The end behavior will be down on the left and up on the right.
2.
FLASHCARD QUESTION
Front
What is the end behavior of a polynomial function with a leading coefficient that is positive and an even degree?
Back
The end behavior will be up on both ends.
3.
FLASHCARD QUESTION
Front
Define the degree of a polynomial.
Back
The degree of a polynomial is the highest power of the variable in the polynomial.
4.
FLASHCARD QUESTION
Front
What is a leading coefficient?
Back
The leading coefficient is the coefficient of the term with the highest degree in a polynomial.
5.
FLASHCARD QUESTION
Front
How does the degree of a polynomial affect its end behavior?
Back
Odd degree polynomials have opposite end behaviors, while even degree polynomials have the same end behavior.
6.
FLASHCARD QUESTION
Front
What does it mean for a polynomial to 'pass through' the x-axis?
Back
It means that the polynomial has a root at that x-value, and the graph intersects the x-axis.
7.
FLASHCARD QUESTION
Front
What does it mean for a polynomial to 'touch and turn around' at a point on the x-axis?
Back
It means that the polynomial has a repeated root at that x-value, and the graph touches the x-axis but does not cross it.
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