Front

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 and 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

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not create a straight line when graphed. It can have curves, bends, or changes in direction, and does not have a constant rate of change.

Tags

CCSS.8.F.A.3

Front

How can you identify a linear function from its graph?

Back

A linear function can be identified by its straight line graph. If the graph has a constant slope and does not curve, it is linear.

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How can you identify a nonlinear function from its graph?

Back

A nonlinear function can be identified by its curved or bent graph. If the graph changes direction or has varying slopes, it is nonlinear.

Tags

CCSS.8.F.A.3

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. It indicates how much the y-value changes for a given change in the x-value.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a linear function?

Back

The y-intercept of a linear function is the point where the graph crosses the y-axis. It is represented by the value of b in the equation y = mx + b.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

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CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Can a linear function have a negative slope?

Back

Yes, a linear function can have a negative slope, which means that as the x-value increases, the y-value decreases.

Tags

CCSS.8.EE.B.5

Front

What is an example of a nonlinear function?

Back

An example of a nonlinear function is y = x^2, which creates a parabolic curve when graphed.

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CCSS.8.F.A.3

Front

What is the difference between a linear and a nonlinear equation?

Back

A linear equation represents a straight line and has a constant rate of change, while a nonlinear equation represents a curve and has a varying rate of change.

Tags

CCSS.8.F.A.3