Linear VS Nonlinear

Front

What is a linear function?

Back

A linear function is a function that creates a straight line when graphed and 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 and may have a variable rate of change.

Front

What does 'constant rate of change' mean?

Back

Constant rate of change means that for every unit increase in the input (x), the output (y) increases by a fixed amount.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope in a linear function?

Back

The slope is a measure of how steep the line is and indicates the rate of change of the function.

Front

What is a y-intercept?

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

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

Back

A linear function will have a constant difference in the y-values for equal intervals in the x-values.

Front

What is an example of a nonlinear function?

Back

An example of a nonlinear function is y = x^2, which creates a parabolic curve when graphed.

Front

How can you tell if a graph is linear or nonlinear?

Back

A graph is linear if it forms a straight line; it is nonlinear if it curves or has bends.

Front

What is the difference between linear and nonlinear equations?

Back

Linear equations have a constant rate of change and graph as straight lines, while nonlinear equations have variable rates of change and graph as curves.