linear vs. nonlinear
Flashcard
•
Mathematics
•
8th Grade
•
Hard
+1
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is the definition of a linear function?
Back
A linear function is a function that can be graphically represented as a straight line. It has the form 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
2.
FLASHCARD QUESTION
Front
What is the definition of a nonlinear function?
Back
A nonlinear function is a function that does not form a straight line when graphed. Its graph can be curved or have varying slopes.
Tags
CCSS.8.F.A.3
3.
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.
4.
FLASHCARD QUESTION
Front
What is the difference between linear and nonlinear graphs?
Back
Linear graphs are straight lines, indicating a constant rate of change, while nonlinear graphs can be curves, indicating a variable rate of change.
Tags
CCSS.8.F.A.3
5.
FLASHCARD QUESTION
Front
How can you identify a linear function from a table of values?
Back
A linear function will have a constant difference in the y-values for equal increments in the x-values.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
6.
FLASHCARD QUESTION
Front
What is an example of a nonlinear equation?
Back
An example of a nonlinear equation is y = x^2 or y = 1/x.
Tags
CCSS.8.F.A.3
7.
FLASHCARD QUESTION
Front
What does the slope of a linear function represent?
Back
The slope of a linear function represents the rate of change of the dependent variable (y) with respect to the independent variable (x).
Tags
CCSS.8.EE.B.5
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