Positive/Negative and Increasing/Decreasing Intervals

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•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a negative interval in a function?
Back
A negative interval is a range of x-values where the function's output (y-values) is less than zero.
Tags
CCSS.HSF-IF.C.7A
2.
FLASHCARD QUESTION
Front
Identify the negative interval for the function f(x) = x^2 - 3x - 2.
Back
The negative interval is (-2, 1).
Tags
CCSS.HSF-IF.C.7A
3.
FLASHCARD QUESTION
Front
What does the interval (-∞, 1) represent in terms of function behavior?
Back
It represents a negative interval where the function values are below zero.
4.
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-values) is increasing as x increases.
5.
FLASHCARD QUESTION
Front
Identify the increasing interval for the function f(x) = -x^2 + 4x.
Back
The increasing interval is (-∞, 2].
6.
FLASHCARD QUESTION
Front
What is the significance of the interval (4, 8) in a function?
Back
It indicates that the function is increasing between x = 4 and x = 8.
7.
FLASHCARD QUESTION
Front
How do you determine the intervals of increase and decrease for a function?
Back
By finding the derivative of the function and analyzing where it is positive (increasing) or negative (decreasing).
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