Understand linear functions

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•
Mathematics
•
8th Grade
•
Hard
+1
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
2.
FLASHCARD QUESTION
Front
What is the slope in a linear function?
Back
The slope (m) in a linear function represents the rate of change of the function. It indicates how much the y-value changes for a unit change in the x-value.
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
What is the y-intercept in a linear function?
Back
The y-intercept (b) is the point where the line crosses the y-axis. It represents the value of the function when x = 0.
4.
FLASHCARD QUESTION
Front
How can you identify a non-linear function?
Back
A non-linear function can be identified by the presence of exponents, variables multiplied together, or any other operation that does not result in a straight line when graphed.
Tags
CCSS.8.F.A.3
5.
FLASHCARD QUESTION
Front
What does it mean for a function to be linear?
Back
A function is linear if it can be expressed in the form f(x) = mx + b, resulting in a straight line when graphed.
Tags
CCSS.8.F.A.3
6.
FLASHCARD QUESTION
Front
What is the general form of a linear equation?
Back
The general form of a linear equation is Ax + By = C, where A, B, and C are constants.
7.
FLASHCARD QUESTION
Front
What is the difference between linear and non-linear functions?
Back
Linear functions produce straight-line graphs and have a constant rate of change, while non-linear functions produce curves and have varying rates of change.
Tags
CCSS.8.F.A.3
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