End Behavior and Extrema
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is end behavior in a function?
Back
End behavior describes the behavior of the graph of a function as the input values (x) approach positive or negative infinity.
2.
FLASHCARD QUESTION
Front
What does it mean for a function to have a relative maximum?
Back
A relative maximum is a point on the graph of a function where the function value is higher than the values of the function at nearby points.
3.
FLASHCARD QUESTION
Front
How can you determine the number of relative maximums in a function?
Back
You can determine the number of relative maximums by analyzing the graph or using calculus to find critical points and test their nature.
4.
FLASHCARD QUESTION
Front
What is an extremum in the context of functions?
Back
An extremum is a point in the domain of a function where the function takes on a maximum or minimum value.
5.
FLASHCARD QUESTION
Front
What is the difference between relative and absolute extrema?
Back
Relative extrema are the highest or lowest points in a specific interval, while absolute extrema are the highest or lowest points over the entire domain of the function.
6.
FLASHCARD QUESTION
Front
How do you describe the end behavior of a polynomial function?
Back
The end behavior of a polynomial function is determined by its leading term, which dictates whether the graph rises or falls as x approaches positive or negative infinity.
7.
FLASHCARD QUESTION
Front
What does it mean if a graph approaches y → ∞ as x → -∞?
Back
It means that as the x-values decrease without bound, the y-values of the function increase without bound.
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