AVERAGE RATE OF CHANGE/ LINEAR FUNCTION
Flashcard
•
Mathematics
•
9th Grade
•
Hard
+3
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 is the change in the function's value divided by the change in the input value over that interval.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
2.
FLASHCARD QUESTION
Front
How do you calculate the average rate of change from 20 to 40 minutes?
Back
Average Rate of Change = (f(40) - f(20)) / (40 - 20). For example, if f(40) = 0 and f(20) = -40, then the average rate of change is (0 - (-40)) / (40 - 20) = 2 gallons per minute.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
3.
FLASHCARD QUESTION
Front
What is the slope of a line?
Back
The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x).
Tags
CCSS.8.EE.B.5
4.
FLASHCARD QUESTION
Front
What does an undefined slope indicate?
Back
An undefined slope indicates a vertical line, where the x-coordinates are the same for two points, resulting in division by zero.
Tags
CCSS.8.EE.B.5
5.
FLASHCARD QUESTION
Front
What is a function?
Back
A function is a relation where each input (x-value) has exactly one output (y-value).
Tags
CCSS.8.F.A.1
6.
FLASHCARD QUESTION
Front
What is the definition of a linear function?
Back
A linear function is a function that graphs to a straight line, represented by the equation y = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
7.
FLASHCARD QUESTION
Front
What does a zero slope indicate about a line?
Back
A zero slope indicates a horizontal line, meaning there is no change in y as x changes.
Tags
CCSS.8.EE.B.5
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