Polynomial End Behavior

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the end behavior of a polynomial function?
Back
The end behavior of a polynomial function describes how the function behaves as the input values (x) approach positive or negative infinity.
2.
FLASHCARD QUESTION
Front
What determines the end behavior of a polynomial function?
Back
The end behavior of a polynomial function is determined by its leading term, specifically the degree and the leading coefficient.
3.
FLASHCARD QUESTION
Front
How does the degree of a polynomial affect its end behavior?
Back
If the degree is even, both ends of the graph will either rise or fall together. If the degree is odd, one end will rise while the other falls.
4.
FLASHCARD QUESTION
Front
What is the end behavior of a polynomial function with a positive leading coefficient and an even degree?
Back
Both ends of the graph will rise as x approaches positive or negative infinity.
5.
FLASHCARD QUESTION
Front
What is the end behavior of a polynomial function with a negative leading coefficient and an even degree?
Back
Both ends of the graph will fall as x approaches positive or negative infinity.
6.
FLASHCARD QUESTION
Front
What is the end behavior of a polynomial function with a positive leading coefficient and an odd degree?
Back
The left end of the graph will fall while the right end will rise as x approaches negative infinity and positive infinity, respectively.
7.
FLASHCARD QUESTION
Front
What is the end behavior of a polynomial function with a negative leading coefficient and an odd degree?
Back
The left end of the graph will rise while the right end will fall as x approaches negative infinity and positive infinity, respectively.
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