Increasing and Decreasing Intervals

Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What are increasing and decreasing intervals in a function?
Back
Increasing intervals are ranges where the function's output (y-value) rises as the input (x-value) increases. Decreasing intervals are ranges where the function's output falls as the input increases.
2.
FLASHCARD QUESTION
Front
How do you determine increasing intervals from a graph?
Back
Identify sections of the graph where the slope is positive (rising). The x-values of these sections represent the increasing intervals.
3.
FLASHCARD QUESTION
Front
How do you determine decreasing intervals from a graph?
Back
Identify sections of the graph where the slope is negative (falling). The x-values of these sections represent the decreasing intervals.
4.
FLASHCARD QUESTION
Front
What is the notation for intervals?
Back
Intervals are expressed in parentheses or brackets. For example, (a, b) means all numbers between a and b, not including a and b. [a, b] includes a and b.
Tags
CCSS.6.EE.B.8
5.
FLASHCARD QUESTION
Front
What does the interval (−∞, c) represent?
Back
This interval includes all real numbers less than c, extending indefinitely to the left on the number line.
Tags
CCSS.6.EE.B.8
6.
FLASHCARD QUESTION
Front
What does the interval (c, ∞) represent?
Back
This interval includes all real numbers greater than c, extending indefinitely to the right on the number line.
Tags
CCSS.6.EE.B.8
7.
FLASHCARD QUESTION
Front
How do you find the increasing interval from a function's derivative?
Back
If the derivative of a function is positive in an interval, then the function is increasing in that interval.
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