Linear or Nonlinear Function?

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 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 form a straight line when graphed. It can include quadratic, cubic, exponential, and other types of functions.

Front

Identify 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 function?

Back

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

Front

Is the function y = 2x + 5 linear or nonlinear?

Back

Linear

Front

Is the function y = x^2 + 3 linear or nonlinear?

Back

Nonlinear

Front

What are the characteristics of a linear function's graph?

Back

A linear function's graph is a straight line, has a constant slope, and does not curve.

Front

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

Back

If the differences between consecutive y-values are constant for equal intervals of x, the function is linear.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers and A is non-negative.