Graphs of Polynomials Review

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
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.
2.
FLASHCARD QUESTION
Front
How do you determine if a polynomial is of even or odd degree?
Back
A polynomial is of even degree if the highest power of the variable is even (e.g., 0, 2, 4). It is of odd degree if the highest power is odd (e.g., 1, 3, 5).
3.
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. It affects the end behavior of the graph of the polynomial.
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 positive infinity, the polynomial approaches positive infinity; as x approaches negative infinity, the polynomial approaches negative infinity.
5.
FLASHCARD QUESTION
Front
What is the end behavior of a polynomial with a negative leading coefficient and an odd degree?
Back
As x approaches positive infinity, the polynomial approaches negative infinity; as x approaches negative infinity, the polynomial approaches positive infinity.
6.
FLASHCARD QUESTION
Front
What is the end behavior of a polynomial with a positive leading coefficient and an even degree?
Back
As x approaches both positive and negative infinity, the polynomial approaches positive infinity.
7.
FLASHCARD QUESTION
Front
What is the end behavior of a polynomial with a negative leading coefficient and an even degree?
Back
As x approaches both positive and negative infinity, the polynomial approaches negative infinity.
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