Linear and Nonlinear Functions

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, a circle, or any other shape that is not linear.

Tags

CCSS.8.F.A.3

Front

Identify the type of function: y = 2x^2 + 3.

Back

Nonlinear Function

Tags

CCSS.8.F.A.3

Front

Identify the type of function: y = -5x + 10.

Back

Linear Function

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the slope in the linear equation y = 3x + 4?

Back

The slope is 3.

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept represent in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Determine if the following function is linear or nonlinear: y = |x|.

Back

Nonlinear Function

Tags

CCSS.8.F.A.3

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

Identify the type of function: y = 4.

Back

Linear Function (horizontal line).

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

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.

Tags

CCSS.8.F.A.1