End Behavior
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is end behavior in polynomial functions?
Back
End behavior describes the behavior of the graph of a polynomial function as the input values (x) approach positive or negative infinity.
2.
FLASHCARD QUESTION
Front
How does the degree of a polynomial affect its end behavior?
Back
The degree of a polynomial determines the direction of the ends of the graph. Even degrees lead to both ends going in the same direction, while odd degrees lead to ends going in opposite directions.
3.
FLASHCARD QUESTION
Front
What is the leading coefficient of a polynomial?
Back
The leading coefficient is the coefficient of the term with the highest degree in a polynomial.
4.
FLASHCARD QUESTION
Front
How does the sign of the leading coefficient affect end behavior?
Back
If the leading coefficient is positive, the right end of the graph rises; if negative, the right end falls.
5.
FLASHCARD QUESTION
Front
What is the end behavior of a polynomial function with an even degree and a positive leading coefficient?
Back
Both ends of the graph rise as x approaches positive or negative infinity.
6.
FLASHCARD QUESTION
Front
What is the end behavior of a polynomial function with an odd degree and a positive leading coefficient?
Back
The left end of the graph falls while the right end rises as x approaches negative and positive infinity, respectively.
7.
FLASHCARD QUESTION
Front
What is the end behavior of a polynomial function with an even degree and a negative leading coefficient?
Back
Both ends of the graph fall as x approaches positive or negative infinity.
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