Average Rate of Change
Flashcard
•
Mathematics
•
9th Grade
•
Hard
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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
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
3.
FLASHCARD QUESTION
Front
What does a positive average rate of change indicate?
Back
A positive average rate of change indicates that the function is increasing over the interval.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
4.
FLASHCARD QUESTION
Front
What does a negative average rate of change indicate?
Back
A negative average rate of change indicates that the function is decreasing over the interval.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
5.
FLASHCARD QUESTION
Front
What is the average rate of change of a linear function?
Back
For a linear function, the average rate of change is constant and equal to the slope of the line.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
6.
FLASHCARD QUESTION
Front
If a function has an average rate of change of 0, what does that mean?
Back
An average rate of change of 0 means that the function's value does not change over the interval.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
7.
FLASHCARD QUESTION
Front
Example: Find the average rate of change from (2, 4) to (6, 10).
Back
Average Rate of Change = (10 - 4) / (6 - 2) = 6 / 4 = 1.5.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
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