What is end behavior in the context of polynomial functions?
Warm-up 11/9 Flashcardizz

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Mathematics
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9th - 12th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
Back
End behavior refers to 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 in which the graph rises or falls as x approaches positive or negative infinity.
3.
FLASHCARD QUESTION
Front
What does a positive leading coefficient indicate about the end behavior of a polynomial function with an even degree?
Back
If a polynomial function has a positive leading coefficient and an even degree, the graph will rise to infinity on both ends (as x approaches ±∞).
4.
FLASHCARD QUESTION
Front
What does a negative leading coefficient indicate about the end behavior of a polynomial function with an odd degree?
Back
If a polynomial function has a negative leading coefficient and an odd degree, the graph will fall to negative infinity on the right and rise to positive infinity on the left.
5.
FLASHCARD QUESTION
Front
What is the significance of the leading coefficient in determining the end behavior of a polynomial?
Back
The leading coefficient affects the direction of the graph's ends; a positive leading coefficient indicates the graph rises on one or both ends, while a negative leading coefficient indicates it falls.
6.
FLASHCARD QUESTION
Front
Describe the end behavior of a polynomial function with a positive leading coefficient and an odd degree.
Back
The graph will fall to negative infinity on the left and rise to positive infinity on the right.
7.
FLASHCARD QUESTION
Front
Describe the end behavior of a polynomial function with a negative leading coefficient and an even degree.
Back
The graph will fall to negative infinity on both ends.
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