Function or Not Linear Tables

Linear

Nonlinear

The table represents a linear function because there is a pattern for the x-coordinates and y-coordinates.

The table represents a linear function because the ratio of the change in the y value and the change in the x value is constant.

The table represents a nonlinear function because the ratio of the change in the y value and the change in the x value is not constant.

The table does not represent a function because there is more than one output for at least one input.

linear

nonlinear

Table 1, only

Tables 1 and 2, only

Tables 1 and 3, only

Tables 1, 2 and 3.

Linear

Nonlinear

Linear, the slope is constant

Nonlinear, the slope is not constant

This is a linear function because it does not have a constant rate of change

This is a linear function because it creates a curved line.

This is a linear function because it have a constant rate of change.

This is a linear function because it's y-intercept is (0,2)

Linear

Nonlinear

This is a linear function because the y-intercept is (0,2)

This is a linear function because it forms a curved line.

This is a linear function because is does not have a constant rate of change.

This is a linear function because is has a constant rate of change.

Linear

Nonlinear