Polynomial End Behavior
Flashcard
•
Mathematics
•
9th - 11th Grade
•
Practice Problem
•
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 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
If a polynomial has an even degree and a positive leading coefficient, what is its end behavior?
Back
Both ends of the graph will go up (UP-UP).
4.
FLASHCARD QUESTION
Front
If a polynomial has an odd degree and a positive leading coefficient, what is its end behavior?
Back
The left end goes down and the right end goes up (LEFT DOWN, RIGHT UP).
5.
FLASHCARD QUESTION
Front
If a polynomial has an even degree and a negative leading coefficient, what is its end behavior?
Back
Both ends of the graph will go down (DOWN-DOWN).
6.
FLASHCARD QUESTION
Front
If a polynomial has an odd degree and a negative leading coefficient, what is its end behavior?
Back
The left end goes up and the right end goes down (LEFT UP, RIGHT DOWN).
7.
FLASHCARD QUESTION
Front
What is the degree of the polynomial f(x) = 3x^4 + 2x^3 - x + 5?
Back
The degree is 4.
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