Increasing and Decreasing Intervals -It's Like a roller coaster
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an increasing interval in a graph?
Back
An increasing interval is a range of x-values where the function's output (y-values) rises as x increases.
2.
FLASHCARD QUESTION
Front
What is a decreasing interval in a graph?
Back
A decreasing interval is a range of x-values where the function's output (y-values) falls as x increases.
3.
FLASHCARD QUESTION
Front
How do you identify increasing intervals on a graph?
Back
Look for sections of the graph where the slope is positive, meaning the graph rises from left to right.
4.
FLASHCARD QUESTION
Front
How do you identify decreasing intervals on a graph?
Back
Look for sections of the graph where the slope is negative, meaning the graph falls from left to right.
5.
FLASHCARD QUESTION
Front
What does it mean if a function is constant on an interval?
Back
It means that the function's output does not change as x varies within that interval.
6.
FLASHCARD QUESTION
Front
What is the significance of critical points in determining intervals of increase or decrease?
Back
Critical points are where the derivative is zero or undefined; they help identify where the function changes from increasing to decreasing or vice versa.
7.
FLASHCARD QUESTION
Front
What is the first derivative test?
Back
The first derivative test is a method used to determine whether a critical point is a local maximum, local minimum, or neither by analyzing the sign of the derivative before and after the point.
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