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 [a, b] is defined as the change in the function's value divided by the change in the input value, calculated as (f(b) - f(a)) / (b - a).
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
To calculate the Average Rate of Change, use the formula: (f(b) - f(a)) / (b - a), where f is the function and [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 f(x) = 3x + 2, what is the Average Rate of Change from x = 1 to x = 4?
Back
The Average Rate of Change is (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 the function f(x) = x^2 on the interval [1, 3]?
Back
The Average Rate of Change is (f(3) - f(1)) / (3 - 1) = (9 - 1) / 2 = 4.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
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