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 Ax + By = C, where A, B, and C are constants.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What does it mean if a function is increasing?

Back

A function is increasing if, as the input (x) increases, the output (y) also increases.

Front

What does it mean if a function is decreasing?

Back

A function is decreasing if, as the input (x) increases, the output (y) decreases.

Front

What is a quadratic function?

Back

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

Front

What is a constant function?

Back

A constant function is a linear function where the output value is the same for every input value, represented as y = c.

Front

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

Back

A linear function will have a constant rate of change between the x-values and y-values in a table.

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, b) in the equation y = mx + b.