Graded - Average Rate of Change of Non-Linear Functions

Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
+1
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1.
FLASHCARD QUESTION
Front
What is the average rate of change of a function over an interval?
Back
The average rate of change of a function over an interval [a, b] is 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 determine if a function is linear?
Back
A function is linear if its graph is a straight line, which means the rate of change is constant throughout the interval.
Tags
CCSS.8.F.A.3
3.
FLASHCARD QUESTION
Front
What is a non-linear function?
Back
A non-linear function is a function whose graph is not a straight line, indicating that the rate of change varies over the interval.
Tags
CCSS.8.F.A.3
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 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
6.
FLASHCARD QUESTION
Front
How can you visually identify a non-linear function on a graph?
Back
A non-linear function can be identified by its curved graph, which does not form a straight line.
Tags
CCSS.8.F.A.3
7.
FLASHCARD QUESTION
Front
What is the significance of the slope in a linear function?
Back
The slope of a linear function represents the constant rate of change between the dependent and independent variables.
Tags
CCSS.8.EE.B.5
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