Linear vs Nonlinear Functions

Front

What is a linear function?

Back

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed. Its rate of change is not constant.

Front

How do you find the rate of change in a linear function?

Back

The rate of change in a linear function is found by calculating the slope, which is the change in y divided by the change in x (rise over run).

Front

What does a constant rate of change indicate?

Back

A constant rate of change indicates that the function is linear.

Front

Back

Front

How can you determine if a table of values represents a linear function?

Back

If the differences between consecutive y-values divided by the differences between consecutive x-values are constant, the function is linear.

Front

What is the rate of change for the linear function represented by the points (1, 2) and (3, 4)?

Back

Front

What is the general form of a linear equation?

Back

Front

What does it mean if a function is described as 'nonlinear'?

Back

It means that the function does not have a constant rate of change and its graph is not a straight line.

Front

Back

The function is linear.