12/12 Practice

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It has a constant rate of change.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line. It may curve or have varying rates of change.

Front

How can you identify a linear graph?

Back

A linear graph can be identified by its straight line, which indicates a constant rate of change.

Front

What does it mean if a function is increasing?

Back

If a function is increasing, it means that as the input values increase, the output values also increase.

Front

What does it mean if a function is decreasing?

Back

If a function is decreasing, it means that as the input values increase, the output values decrease.

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 the run between two points on the line.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of the function when the input is zero.

Front

What is the difference between a linear and a nonlinear equation?

Back

A linear equation can be written in the form y = mx + b, while a nonlinear equation cannot be expressed in this form.

Front

What is an example of a linear function?

Back

An example of a linear function is f(x) = 2x + 3.

Front

What is an example of a nonlinear function?

Back

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