Linear vs Nonlinear functions
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that graphs to a straight line. It can be expressed 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
2.
FLASHCARD QUESTION
Front
What is a nonlinear function?
Back
A nonlinear function is a function that does not graph to a straight line. Its graph can be curved or have a more complex shape.
Tags
CCSS.8.F.A.3
3.
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
4.
FLASHCARD QUESTION
Front
How can you identify a nonlinear function from its graph?
Back
A nonlinear function can be identified by its curved graph or any graph that does not form a straight line.
Tags
CCSS.8.F.A.3
5.
FLASHCARD QUESTION
Front
What does it mean for a graph to represent a function?
Back
A graph represents a function if every input (x-value) has exactly one output (y-value). This can be tested using the vertical line test.
6.
FLASHCARD QUESTION
Front
What is the vertical line test?
Back
The vertical line test states that if a vertical line intersects a graph at more than one point, then the graph does not represent a function.
7.
FLASHCARD QUESTION
Front
What is the slope of a linear function?
Back
The slope of a linear function is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).
Tags
CCSS.8.EE.B.5
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