Average Rate of Change / Functions and their Graphs

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•
Mathematics
•
8th 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 is the change in the function's value divided by the change in the input value over that interval.
2.
FLASHCARD QUESTION
Front
How do you calculate the average rate of change from x=a to x=b?
Back
Average Rate of Change = (f(b) - f(a)) / (b - a)
3.
FLASHCARD QUESTION
Front
What does it mean if the average rate of change is positive?
Back
It means that the function is increasing over the interval from a to b.
4.
FLASHCARD QUESTION
Front
What does it mean if the average rate of change is negative?
Back
It means that the function is decreasing over the interval from a to b.
5.
FLASHCARD QUESTION
Front
What is a function?
Back
A function is a relation that assigns exactly one output for each input.
6.
FLASHCARD QUESTION
Front
What is the domain of a function?
Back
The domain is the set of all possible input values (x-values) for the function.
7.
FLASHCARD QUESTION
Front
What is the range of a function?
Back
The range is the set of all possible output values (y-values) that the function can produce.
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