Linear or Nonlinear

Front

What is a linear function?

Back

A linear function is a function that creates a straight line when graphed. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not create a straight line when graphed. Its graph can be curved or have different shapes.

Front

What does the slope of a linear function represent?

Back

The slope of a linear function represents the rate of change of the function. It indicates how much y changes for a unit change in x.

Front

What is the y-intercept in a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis. It is the value of y when x is 0.

Front

Give an example of a linear equation.

Back

An example of a linear equation is 2x + 3y = 6.

Front

Give an example of a nonlinear equation.

Back

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

Front

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

Back

A linear function will have a constant rate of change between the x and y values in the table.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

What is the difference between linear and nonlinear graphs?

Back

Linear graphs are straight lines, while nonlinear graphs can be curves, circles, or other shapes.

Front

What does it mean if a function is increasing?

Back

A function is increasing if, as x increases, y also increases.