Lesson 4.7 - Average Rate of Change
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the average rate of change?
Back
The average rate of change of a function over an interval is the change in the function's value divided by the change in the input value over that interval.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
2.
FLASHCARD QUESTION
Front
If a squirrel runs up a tree slowly, what can we say about the average rate of change of its height?
Back
The average rate of change is small and positive.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
3.
FLASHCARD QUESTION
Front
What does a negative average rate of change indicate?
Back
It indicates that the function's value is decreasing over the interval.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
4.
FLASHCARD QUESTION
Front
How can you determine if the average rate of change is positive, negative, or zero?
Back
By comparing the function's values at the endpoints of the interval.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
5.
FLASHCARD QUESTION
Front
What does it mean if the average rate of change is zero?
Back
It means that the function's value does not change over the interval.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
6.
FLASHCARD QUESTION
Front
How do you calculate the average rate of change?
Back
Average Rate of Change = (f(b) - f(a)) / (b - a), where [a, b] is the interval.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
7.
FLASHCARD QUESTION
Front
What does a positive average rate of change indicate?
Back
It indicates that the function's value is increasing over the interval.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
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