Linear or Non-Linear

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has 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 form a straight line when graphed. Its graph can be curved or have varying slopes.

Tags

CCSS.8.F.A.3

Front

How can you identify a linear function from its equation?

Back

If the equation can be expressed in the form y = mx + b, it is linear. For example, y = 2x + 3 is linear.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does the slope of a linear function represent?

Back

The slope (m) represents the rate of change of the function; it indicates how much y changes for a unit change in x.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in a linear function?

Back

The y-intercept (b) is the point where the graph of the function crosses the y-axis, represented as (0, b).

Front

Is the function y = 3x + 2 linear or nonlinear?

Back

Linear

Tags

CCSS.8.F.A.3

Front

Is the function y = x^2 + 1 linear or nonlinear?

Back

Nonlinear

Tags

CCSS.8.F.A.3

Front

What is the graphical representation of a linear function?

Back

A linear function is represented by a straight line on a graph.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the difference between linear and nonlinear graphs?

Back

Linear graphs are straight lines, while nonlinear graphs can be curves or have varying slopes.

Tags

CCSS.8.F.A.3

Front

Can a linear function have a negative slope?

Back

Yes, a linear function can have a negative slope, indicating that as x increases, y decreases.

Tags

CCSS.8.EE.B.5