Linear and Nonlinear Functions

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What is a linear function?

Back

A linear function is a function that creates a straight line when graphed. It has a constant rate of change.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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What is a nonlinear function?

Back

A nonlinear function is a function that does not create a straight line when graphed. It may have a variable rate of change.

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CCSS.8.F.A.3

Front

What is the general form of a linear equation?

Back

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CCSS.8.EE.B.6

CCSS.8.F.A.3

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What does the slope of a linear function represent?

Back

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CCSS.8.EE.B.5

Front

What is the y-intercept of a linear function?

Back

Front

How can you determine if a table of values represents a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value).

Tags

CCSS.8.F.A.1

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What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output, while a relation can have multiple outputs for a single input.

Tags

CCSS.8.F.A.1

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What is a constant rate of change?

Back

A constant rate of change means that the change in the output (y) is consistent for each unit change in the input (x).

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CCSS.HSF-LE.A.1B

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How do you write a function from a real-world scenario?

Back

To write a function from a real-world scenario, identify the variables involved and express the relationship mathematically.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input (x) increases, the output (y) also increases.