Linear VS Nonlinear

Front

What is a linear function?

Back

A linear function is a function that creates a straight line when graphed. It has a constant rate of change.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not create a straight line when graphed. It may have curves or bends.

Front

How can you identify a linear function from its graph?

Back

A linear function can be identified by its straight line graph, which has a constant slope.

Front

How can you identify a nonlinear function from its graph?

Back

A nonlinear function can be identified by its curved or bent graph, which does not have a constant slope.

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 the input (x), the output (y) increases by a fixed amount.

Front

What is the slope of a linear function?

Back

The slope of a linear function is a measure of how steep the line is, calculated as the change in y divided by the change in x.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) where b is the value of y.

Front

Can a linear function have a y-intercept?

Back

Yes, a linear function can have a y-intercept, which is the point where the function crosses the y-axis.

Front

What is an example of a linear function?

Back

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

Front

What is an example of a nonlinear function?

Back

An example of a nonlinear function is f(x) = x^2, which creates a parabolic curve when graphed.