Linear or Nonlinear Function

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 a curve or any other shape that is not a straight line.

Tags

CCSS.8.F.A.3

Front

Identify the general form of a linear function.

Back

The general form of a linear function is 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 does the slope (m) represent in a linear function?

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 does the y-intercept (b) represent in a linear function?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x is 0.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

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

Back

Linear

Tags

CCSS.8.F.A.3

Front

Is the function y = x^2 - 4 linear or nonlinear?

Back

Nonlinear

Tags

CCSS.8.F.A.3

Front

Is the function y = 5x - 1 linear or nonlinear?

Back

Linear

Tags

CCSS.8.F.A.3

Front

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

Back

Nonlinear

Tags

CCSS.8.F.A.3

Front

Which of the following is a characteristic of linear functions?

Back

Linear functions have a constant rate of change and their graphs are straight lines.

Tags

CCSS.HSF-LE.A.1B