End Behavior
Flashcard
•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is end behavior in polynomial functions?
Back
End behavior describes how the values of a polynomial function behave as the input (x) approaches positive or negative infinity.
2.
FLASHCARD QUESTION
Front
What determines the end behavior of a polynomial function?
Back
The end behavior is determined by the degree of the polynomial and the sign of the leading coefficient.
3.
FLASHCARD QUESTION
Front
What is the degree of a polynomial?
Back
The degree of a polynomial is the highest power of the variable in the polynomial expression.
4.
FLASHCARD QUESTION
Front
What does a positive leading coefficient indicate about the end behavior of a polynomial function?
Back
If the leading coefficient is positive and the degree is even, the end behavior will rise to +∞ as x approaches both +∞ and -∞.
5.
FLASHCARD QUESTION
Front
What does a negative leading coefficient indicate about the end behavior of a polynomial function?
Back
If the leading coefficient is negative and the degree is even, the end behavior will fall to -∞ as x approaches both +∞ and -∞.
6.
FLASHCARD QUESTION
Front
What happens to the end behavior of a polynomial function with an odd degree and a positive leading coefficient?
Back
The end behavior will rise to +∞ as x approaches +∞ and fall to -∞ as x approaches -∞.
7.
FLASHCARD QUESTION
Front
What happens to the end behavior of a polynomial function with an odd degree and a negative leading coefficient?
Back
The end behavior will fall to -∞ as x approaches +∞ and rise to +∞ as x approaches -∞.
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