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 graph can be curved or have varying slopes.

Front

How can you identify a linear function from its graph?

Back

A linear function's graph will always be a straight line, and it will have a constant rate of change.

Front

How can you identify a nonlinear function from its graph?

Back

A nonlinear function's graph will be curved or have segments that are not straight, indicating a variable rate of change.

Front

What is the general form of a linear equation?

Back

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run, or the change in y divided by the change in x.

Front

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

Back

Front

What is an example of a linear function?

Back

Front

What is an example of a nonlinear function?

Back

Front

What is the difference between the graphs of linear and nonlinear functions?

Back

Linear functions have straight-line graphs, while nonlinear functions have curved or irregular graphs.