Linear vs Nonlinear Functions

Front

What is a linear function?

Back

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed. Its rate of change is not constant.

Tags

CCSS.8.F.A.3

Front

How do you find the rate of change in a linear function?

Back

The rate of change in a linear function is found by calculating the slope, which is the change in y divided by the change in x (rise over run).

Tags

CCSS.HSF-LE.A.1B

Front

What does a constant rate of change indicate?

Back

A constant rate of change indicates that the function is linear.

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CCSS.HSF-LE.A.1B

Front

Back

Tags

CCSS.8.EE.B.5

Front

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

Back

If the differences between consecutive y-values divided by the differences between consecutive x-values are constant, the function is linear.

Tags

CCSS.HSF-LE.A.1B

Front

What is the rate of change for the linear function represented by the points (1, 2) and (3, 4)?

Back

Tags

CCSS.HSF-LE.A.1B

Front

What is the general form of a linear equation?

Back

Front

What does it mean if a function is described as 'nonlinear'?

Back

It means that the function does not have a constant rate of change and its graph is not a straight line.

Tags

CCSS.8.F.A.3

Front

Back

The function is linear.

Tags

CCSS.8.F.A.3