Linear/NonLinear Functions

Front

What is a linear function?

Back

A linear function is a function that creates a straight line when graphed. It has a constant rate of change.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not create a straight line when graphed. It has a variable rate of change.

Front

How can you identify a linear relationship from a graph?

Back

A linear relationship can be identified by a straight line on the graph.

Front

What does the slope of a line represent?

Back

The slope represents the steepness of the line and the rate of change between the y and x values.

Front

What is the formula for calculating slope?

Back

Slope (m) = (Change in y) / (Change in x) or Rise / Run.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What does it mean if a function has a constant rate of change?

Back

It means that for every unit increase in x, the y value increases by a fixed amount.

Front

What is an example of a linear function?

Back

An example of a linear function is y = 2x + 3.

Front

What is an example of a nonlinear function?

Back

An example of a nonlinear function is y = x^2.

Front

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

Back

If the ratio of the change in y to the change in x is constant, it represents a linear function.