Linear or Nonlinear

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be written 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 graph to a straight line. Its graph can be a curve or any shape that is not a straight line.

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 (m) in a linear function represents the rate of change of y with respect to x. It indicates how steep the line is.

Front

What does the y-intercept represent in a linear function?

Back

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

Front

Give an example of a linear function.

Back

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

Front

Give an example of a nonlinear function.

Back

An example of a nonlinear function is y = x^2 - 4.

Front

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

Back

If the graph is a straight line, the function is linear. If the graph is curved or has any shape other than a straight line, it is nonlinear.

Front

What is the equation of a nonlinear function?

Back

An example of a nonlinear function's equation is y = 3x^2 - 4x + 2.

Front

What is a quadratic function?

Back

A quadratic function is a type of nonlinear function that can be expressed in the form y = ax^2 + bx + c, where a, b, and c are constants.