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

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

Back

If the differences between the y-values are constant for equal changes in the x-values, the function is linear.

Front

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

Back

If the differences between the y-values are not constant for equal changes in the x-values, the function is nonlinear.

Front

What is the slope in a linear function?

Back

The slope (m) is a number that describes the steepness and direction of the line. It is calculated as the change in y divided by the change in x.

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 f(x) = 2x + 3.

Front

Give an example of a nonlinear function.

Back

An example of a nonlinear function is f(x) = x^2.

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 a graph of a linear function?

Back

The graph of a linear function is a straight line that can slope upwards, downwards, or be horizontal.