Average Rate of Change
Flashcard
•
Mathematics
•
9th 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
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 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
4.
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
5.
FLASHCARD QUESTION
Front
If a function's average rate of change is zero, what does that mean?
Back
It means that the function's value does not change over the interval; it is constant.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
6.
FLASHCARD QUESTION
Front
Example: Find the average rate of change of f(x) = 3x + 2 from x = 1 to x = 4.
Back
Average Rate of Change = (f(4) - f(1)) / (4 - 1) = (14 - 5) / 3 = 3.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
7.
FLASHCARD QUESTION
Front
What is the average rate of change of a linear function?
Back
The average rate of change of a linear function is constant and equal to the slope of the line.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
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