Polynomial End Behavior
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the end behavior of a polynomial function with an odd degree and a positive leading coefficient?
Back
As x approaches positive infinity, f(x) approaches positive infinity; as x approaches negative infinity, f(x) approaches negative infinity.
2.
FLASHCARD QUESTION
Front
What is the end behavior of a polynomial function with an even degree and a positive leading coefficient?
Back
As x approaches positive infinity, f(x) approaches positive infinity; as x approaches negative infinity, f(x) approaches positive infinity.
3.
FLASHCARD QUESTION
Front
What is the end behavior of a polynomial function with an odd degree and a negative leading coefficient?
Back
As x approaches positive infinity, f(x) approaches negative infinity; as x approaches negative infinity, f(x) approaches positive infinity.
4.
FLASHCARD QUESTION
Front
What is the end behavior of a polynomial function with an even degree and a negative leading coefficient?
Back
As x approaches positive infinity, f(x) approaches negative infinity; as x approaches negative infinity, f(x) approaches negative infinity.
5.
FLASHCARD QUESTION
Front
Define the degree of a polynomial.
Back
The degree of a polynomial is the highest power of the variable in the polynomial expression.
6.
FLASHCARD QUESTION
Front
What does the leading coefficient of a polynomial indicate?
Back
The leading coefficient is the coefficient of the term with the highest degree, and it affects the end behavior of the polynomial.
7.
FLASHCARD QUESTION
Front
How can you determine if a polynomial is even or odd based on its degree?
Back
A polynomial is even if its degree is even and odd if its degree is odd.
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