Linear vs. Nonlinear Tables and Graphs

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•
Mathematics
•
8th Grade
•
Hard
+5
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the difference between linear and nonlinear relationships?
Back
Linear relationships have a constant rate of change and can be represented by a straight line, while nonlinear relationships do not have a constant rate of change and can be represented by curves.
Tags
CCSS.8.F.A.3
2.
FLASHCARD QUESTION
Front
How can you identify a linear function from its graph?
Back
A linear function can be identified by its straight line graph, which has a constant slope.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
3.
FLASHCARD QUESTION
Front
What does a steep line on a graph indicate about the rate of change?
Back
A steep line indicates a higher rate of change.
Tags
CCSS.HSF-LE.A.1B
4.
FLASHCARD QUESTION
Front
What is the definition of a rate of change in a function?
Back
The rate of change is the ratio of the change in the dependent variable to the change in the independent variable.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
5.
FLASHCARD QUESTION
Front
What are initial values in the context of functions?
Back
Initial values refer to the starting point of a function, often represented as the y-intercept in a graph.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
6.
FLASHCARD QUESTION
Front
What does it mean for a function to have a constant rate of change?
Back
A function has a constant rate of change if the change in the output value is consistent for equal changes in the input value.
Tags
CCSS.HSF-LE.A.1B
7.
FLASHCARD QUESTION
Front
How can you determine if a graph is nonlinear?
Back
A graph is nonlinear if it curves or does not form a straight line.
Tags
CCSS.8.F.A.3
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