Polynomial End Behavior
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What determines the end behavior of a polynomial function?
Back
The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
2.
FLASHCARD QUESTION
Front
What is the end behavior of a polynomial with a positive leading coefficient and an even degree?
Back
As x approaches -∞, f(x) approaches +∞; as x approaches +∞, f(x) approaches +∞.
3.
FLASHCARD QUESTION
Front
What is the end behavior of a polynomial with a negative leading coefficient and an odd degree?
Back
As x approaches -∞, f(x) approaches +∞; as x approaches +∞, f(x) approaches -∞.
4.
FLASHCARD QUESTION
Front
What is the end behavior of a polynomial with a positive leading coefficient and an odd degree?
Back
As x approaches -∞, f(x) approaches -∞; as x approaches +∞, f(x) approaches +∞.
5.
FLASHCARD QUESTION
Front
What is the end behavior of a polynomial with a negative leading coefficient and an even degree?
Back
As x approaches -∞, f(x) approaches -∞; as x approaches +∞, f(x) approaches -∞.
6.
FLASHCARD QUESTION
Front
If f(x) = 5x^4 - x + 6, what is the end behavior?
Back
UP-UP (As x approaches -∞, f(x) approaches +∞; as x approaches +∞, f(x) approaches +∞.)
7.
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.
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