Average Rate of Change Practice

Flashcard
•
Mathematics
•
9th - 12th 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 [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).
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 and b are the endpoints of the interval.
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.
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.
5.
FLASHCARD QUESTION
Front
What is the Average Rate of Change between the points (2, 3) and (5, 11)?
Back
The Average Rate of Change is (11 - 3) / (5 - 2) = 8 / 3.
6.
FLASHCARD QUESTION
Front
If a function is constant, what is its Average Rate of Change?
Back
If a function is constant, its Average Rate of Change is 0, as there is no change in the function's value.
7.
FLASHCARD QUESTION
Front
What is the significance of the Average Rate of Change in real-world applications?
Back
The Average Rate of Change can represent speed, growth rate, or any change over time in real-world scenarios.
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