Average Rate of Change
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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the Average Rate of Change?
Back
The Average Rate of Change is a measure of how much a quantity changes on average over a specific interval. It is calculated as the change in the value of a function divided by the change in the input value.
2.
FLASHCARD QUESTION
Front
How is the Average Rate of Change calculated?
Back
The Average Rate of Change is calculated using the formula: (f(b) - f(a)) / (b - a), where f(b) and f(a) are the values of the function at points b and a, respectively.
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.
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.
5.
FLASHCARD QUESTION
Front
What is the slope in the context of a linear function?
Back
The slope is a measure of the steepness of a line, calculated as the rise (change in y) over the run (change in x). It represents the Average Rate of Change.
6.
FLASHCARD QUESTION
Front
If a function has a slope of -7, what does this mean?
Back
A slope of -7 means that for every 1 unit increase in x, the value of the function decreases by 7 units.
7.
FLASHCARD QUESTION
Front
What is the Average Rate of Change of a function from 0 to 2 seconds if the distance traveled is 5 feet?
Back
The Average Rate of Change is 2.5 feet per second, calculated as (5 feet - 0 feet) / (2 seconds - 0 seconds).
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