Linear or NonLinear

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = 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 form a straight line when graphed. 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 Ax + By = C, where A, B, and C are constants.

Front

What is the slope of a linear function?

Back

The slope of a linear function is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

Give an example of a linear equation.

Back

An example of a linear equation is 2x + 3y = 6.

Front

Give an example of a nonlinear equation.

Back

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

Front

How can you determine if a function is linear or nonlinear from a table of values?

Back

If the differences between consecutive y-values are constant for equal intervals of x, the function is linear. If not, it is nonlinear.

Front

What is the graph of a linear function?

Back

The graph of a linear function is a straight line.

Front

What is the graph of a nonlinear function?

Back

The graph of a nonlinear function can be a curve, a circle, or any shape that is not a straight line.