Linear vs Nonlinear Graphs

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 various shapes.

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of the function, indicating how steep the line is and the direction it goes (upward or downward).

Front

What is the y-intercept (b) in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x is 0.

Front

How can you identify a linear graph?

Back

A linear graph can be identified by its straight line, consistent slope, and the ability to be described by a linear equation.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b.

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 do you determine if a graph is linear or nonlinear?

Back

To determine if a graph is linear or nonlinear, check if the graph forms a straight line (linear) or a curve (nonlinear).

Front

What is the difference between linear and nonlinear relationships?

Back

Linear relationships have a constant rate of change and form a straight line, while nonlinear relationships have varying rates of change and do not form a straight line.

Front

What type of graph represents a linear relationship?

Back

A graph that represents a linear relationship is a straight line graph.