Linear vs Non-Linear - Georgia Milestone Review

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn intersects the graph at most once.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and 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 and has a variable rate of change.

Front

What does it mean for a function to have a constant rate of change?

Back

It means that the change in the output (y) is consistent for every unit change in the input (x).

Front

What is the slope of a linear function?

Back

The slope is the ratio of the rise (change in y) to the run (change in x) between any two points on the line.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis.

Front

Can a function be both linear and nonlinear?

Back

No, a function cannot be both linear and nonlinear; it must be one or the other.

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.