Linear vs. Nonlinear

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It has a constant rate of change.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line. Its rate of change varies.

Front

How can you identify a linear function from a graph?

Back

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

Front

How can you identify a nonlinear function from a graph?

Back

A nonlinear function can be identified by a curved line or any line that is not straight.

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function, indicating how steep the line is.

Front

What is the equation of a linear function in slope-intercept form?

Back

The equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is an example of a linear function?

Back

An example of a linear function is f(x) = 2x + 3.

Front

What is an example of a nonlinear function?

Back

An example of a nonlinear function is f(x) = x^2.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if its output values rise as the input values increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if its output values fall as the input values increase.