Linear vs Non-linear

Front

What is a linear function?

Back

A linear function is a function that creates a straight line when graphed. It 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. It can have curves or bends.

Front

How can you identify a linear function from its graph?

Back

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

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 does the slope of a line represent?

Back

The slope represents the rate of change of the function; it shows how much y changes for a change in x.

Front

What is the y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b).

Front

What is an example of a linear equation?

Back

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

Front

What is an example of a nonlinear equation?

Back

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

Front

What does it mean for a graph to represent a function?

Back

A graph represents a function if every x-value has exactly one corresponding y-value.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph is a function; if a vertical line crosses the graph more than once, it is not a function.