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 (ARC)?
Back
The average rate of change is a measure of how a quantity changes on average over a specific interval. It is calculated using the formula: ARC = (y2 - y1) / (x2 - x1).
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
2.
FLASHCARD QUESTION
Front
How do you calculate the average rate of change between two points (x1, y1) and (x2, y2)?
Back
To calculate the average rate of change, use the formula: ARC = (y2 - y1) / (x2 - x1).
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
If a function has an average rate of change of 0, what does this mean?
Back
An average rate of change of 0 means that the function is constant over the interval.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
6.
FLASHCARD QUESTION
Front
Calculate the average rate of change for the points (1, 2) and (5, 10).
Back
ARC = (10 - 2) / (5 - 1) = 8 / 4 = 2.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
7.
FLASHCARD QUESTION
Front
What is the average rate of change of the function f(x) = x^2 from x = 1 to x = 3?
Back
ARC = (f(3) - f(1)) / (3 - 1) = (9 - 1) / (2) = 8 / 2 = 4.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
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