Positive/Negative and Increasing/Decreasing Intervals
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What are increasing intervals in a function?
Back
Increasing intervals are ranges of the independent variable (x-values) where the function's output (y-values) is rising as x increases.
2.
FLASHCARD QUESTION
Front
What are decreasing intervals in a function?
Back
Decreasing intervals are ranges of the independent variable (x-values) where the function's output (y-values) is falling as x increases.
3.
FLASHCARD QUESTION
Front
How do you identify increasing and decreasing intervals from a graph?
Back
Increasing intervals are identified where the graph slopes upwards, while decreasing intervals are where the graph slopes downwards.
4.
FLASHCARD QUESTION
Front
What does the interval notation (-∞, -3) signify?
Back
The interval (-∞, -3) indicates all x-values less than -3, extending indefinitely to the left on the number line.
Tags
CCSS.6.EE.B.8
5.
FLASHCARD QUESTION
Front
What does the interval notation (-2, ∞) signify?
Back
The interval (-2, ∞) indicates all x-values greater than -2, extending indefinitely to the right on the number line.
Tags
CCSS.6.EE.B.8
6.
FLASHCARD QUESTION
Front
What is the significance of the point where a function changes from increasing to decreasing?
Back
This point is known as a local maximum, where the function reaches its highest value before decreasing.
7.
FLASHCARD QUESTION
Front
What is the significance of the point where a function changes from decreasing to increasing?
Back
This point is known as a local minimum, where the function reaches its lowest value before increasing.
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