Linear Vs. Nonlinear (Tables, Equations, Graphs)

Front

What is a linear function?

Back

A linear function is a function that has a constant rate of change and can be represented by a straight line on a graph.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not have a constant rate of change and is represented by a curve on a graph.

Front

How can you identify a linear function from a table of values?

Back

If the differences between consecutive y-values are constant for equal intervals of x, the function is linear.

Front

What is the general form of a linear equation?

Back

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function, indicating how much y changes for a unit change in x.

Front

What is the y-intercept of 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

How do you graph a linear function?

Back

To graph a linear function, plot the y-intercept and use the slope to find another point, then draw a straight line through the points.

Front

What is the difference between linear and nonlinear graphs?

Back

Linear graphs are straight lines, while nonlinear graphs are curves.