End Behavior of Polynomials

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•
Mathematics
•
10th - 12th Grade
•
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 does it mean when y → ∞?
Back
It means that the graph of the function rises indefinitely as x increases.
3.
FLASHCARD QUESTION
Front
What does it mean when y → -∞?
Back
It means that the graph of the function falls indefinitely as x increases.
4.
FLASHCARD QUESTION
Front
If a polynomial function has a positive leading coefficient and an even degree, what is its end behavior?
Back
As x → ∞, f(x) → ∞ and as x → -∞, f(x) → ∞.
5.
FLASHCARD QUESTION
Front
If a polynomial function has a negative leading coefficient and an odd degree, 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 coefficient in determining end behavior?
Back
The leading coefficient determines the direction of the graph's ends based on its sign and the degree of the polynomial.
7.
FLASHCARD QUESTION
Front
How do you determine the end behavior from a graph?
Back
Look at the direction the graph is heading as x approaches positive and negative infinity.
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