Linear vs. Nonlinear Tables and Graphs
Flashcard
•
Mathematics
•
8th Grade
•
Hard
+5
Standards-aligned
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15 questions
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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, characterized by a constant rate of change.
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, indicating that the rate of change is not constant.
Tags
CCSS.8.F.A.3
3.
FLASHCARD QUESTION
Front
How can you identify a linear function from its equation?
Back
A linear function can be identified by its equation in 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
4.
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 function, indicating how much y changes for a unit change in x.
Tags
CCSS.8.EE.B.5
5.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept in a linear function?
Back
The y-intercept is the point where the graph of the function crosses the y-axis, representing the value of y when x is zero.
6.
FLASHCARD QUESTION
Front
What is a common characteristic of nonlinear functions?
Back
Nonlinear functions often exhibit curves or bends in their graphs, indicating varying rates of change.
Tags
CCSS.8.F.A.3
7.
FLASHCARD QUESTION
Front
How do you determine if a graph is linear or nonlinear?
Back
A graph is linear if it forms a straight line; it is nonlinear if it curves or has bends.
Tags
CCSS.8.F.A.3
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