End Behavior
Flashcard
•
Mathematics
•
9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is end behavior in the context of graphing functions?
Back
End behavior describes the behavior of a function as the input values (x) approach positive or negative infinity.
2.
FLASHCARD QUESTION
Front
As x approaches -∞, what does it mean if f(x) approaches -∞?
Back
It means that the graph of the function falls indefinitely as x moves towards negative infinity.
3.
FLASHCARD QUESTION
Front
As x approaches +∞, what does it mean if f(x) approaches +∞?
Back
It means that the graph of the function rises indefinitely as x moves towards positive infinity.
4.
FLASHCARD QUESTION
Front
What does it indicate if a function's end behavior is f(x) → -∞ as x → -∞ and f(x) → +∞ as x → +∞?
Back
This indicates that the graph falls to negative infinity on the left and rises to positive infinity on the right.
5.
FLASHCARD QUESTION
Front
What is the significance of identifying end behavior in a graph?
Back
Identifying end behavior helps in understanding the overall trend of the function and predicting its behavior outside the visible range.
6.
FLASHCARD QUESTION
Front
If a graph has end behavior f(x) → +∞ as x → -∞ and f(x) → +∞ as x → +∞, what does this suggest about the function?
Back
This suggests that the function rises on both ends, indicating a possible minimum point in the middle.
7.
FLASHCARD QUESTION
Front
What does it mean if a function's end behavior is f(x) → 0 as x → +∞?
Back
It means that as x increases indefinitely, the function approaches a horizontal asymptote at y = 0.
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