Extrema,Increasing, and Decreasing
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is an increasing interval in a function?
Back
An increasing interval is a range of x-values where the function's output (y-value) is rising as x increases.
2.
FLASHCARD QUESTION
Front
What is a decreasing interval in a function?
Back
A decreasing interval is a range of x-values where the function's output (y-value) is falling as x increases.
3.
FLASHCARD QUESTION
Front
How do you determine the increasing intervals of a function?
Back
To find increasing intervals, identify where the derivative of the function is positive.
4.
FLASHCARD QUESTION
Front
How do you determine the decreasing intervals of a function?
Back
To find decreasing intervals, identify where the derivative of the function is negative.
5.
FLASHCARD QUESTION
Front
What is a local maximum?
Back
A local maximum is a point where the function value is higher than all nearby points.
6.
FLASHCARD QUESTION
Front
What is a local minimum?
Back
A local minimum is a point where the function value is lower than all nearby points.
7.
FLASHCARD QUESTION
Front
How do you find local maxima and minima?
Back
Local maxima and minima can be found using the first derivative test or the second derivative test.
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