8.F.3 Review - Linear vs. Nonlinear

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

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

Back

If the ratio of the change in y to the change in x is constant, the function is linear; if it is not constant, the function is nonlinear.

Front

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

Back

A constant rate of change means that for every unit increase in x, the change in y is always the same.

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, represented as (0, b) where b is the y-value.

Front

What is the slope of a linear function?

Back

The slope is the measure of the steepness of the line, calculated as the change in y divided by the change in x.

Front

What is an example of a linear function?

Back

An example of a linear function is f(x) = 2x + 3, which graphs to a straight line.

Front

What is an example of a nonlinear function?

Back

An example of a nonlinear function is f(x) = x^2, which graphs to a parabola.

Front

How can you identify a linear function from a graph?

Back

A linear function will appear as a straight line on a graph, while a nonlinear function will show a curve.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.