End Behavior Flashcardizz
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is end behavior in polynomial functions?
Back
End behavior describes the behavior of the graph of a polynomial function as x approaches positive or negative infinity.
2.
FLASHCARD QUESTION
Front
How does the degree of a polynomial affect its end behavior?
Back
The degree of a polynomial determines the direction of the ends of the graph. Even degrees have both ends going in the same direction, while odd degrees have ends going in opposite directions.
3.
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, both ends of the graph will rise to positive infinity. If the degree is odd, the left end will fall to negative infinity and the right end will rise to positive infinity.
4.
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, both ends of the graph will fall to negative infinity. If the degree is odd, the left end will rise to positive infinity and the right end will fall to negative infinity.
5.
FLASHCARD QUESTION
Front
Given the polynomial f(x) = -2x^7 + 2x^4 + 4, what is its end behavior?
Back
As x → ∞, f(x) → -∞ and as x → -∞, f(x) → ∞.
6.
FLASHCARD QUESTION
Front
What is the significance of the leading term in determining end behavior?
Back
The leading term of a polynomial function dominates the behavior of the function as x approaches infinity or negative infinity.
7.
FLASHCARD QUESTION
Front
How can you identify the degree of a polynomial?
Back
The degree of a polynomial is identified by the highest exponent of the variable in the polynomial.
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