Positive/Negative and Increasing/Decreasing Intervals
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
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15 questions
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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 over which the function's output (y-values) increases as x increases.
2.
FLASHCARD QUESTION
Front
How do you determine the increasing intervals of a function?
Back
To determine the increasing intervals, find where the derivative of the function is positive.
3.
FLASHCARD QUESTION
Front
What is a decreasing interval in a function?
Back
A decreasing interval is a range of x-values over which the function's output (y-values) decreases as x increases.
4.
FLASHCARD QUESTION
Front
How do you determine the decreasing intervals of a function?
Back
To determine the decreasing intervals, find where the derivative of the function is negative.
5.
FLASHCARD QUESTION
Front
What does it mean for a function to have a positive interval?
Back
A positive interval refers to the range of x-values for which the function's output (y-values) is greater than zero.
Tags
CCSS.HSF-IF.C.7A
6.
FLASHCARD QUESTION
Front
How can you find the positive intervals of a function?
Back
To find the positive intervals, solve the inequality f(x) > 0.
Tags
CCSS.HSA-SSE.B.3B
CCSS.HSF-IF.C.8A
7.
FLASHCARD QUESTION
Front
What is the significance of critical points in determining intervals?
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.
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