8.F.3 Flashcard

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 does not have a constant rate of change.

Front

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

Back

A function is linear if the change in y is constant for equal changes in x. If the change in y varies, it 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, y increases by a fixed amount.

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, indicating the value of y when x is 0.

Front

What is an example of a linear function?

Back

An example of a linear function is y = 2x + 3.

Front

What is an example of a nonlinear function?

Back

An example of a nonlinear function is y = x^2.

Front

How can you identify a linear graph?

Back

A linear graph will form a straight line when plotted on a coordinate plane.

Front

What does it mean if a graph is nonlinear?

Back

If a graph is nonlinear, it means that the relationship between x and y does not form a straight line, indicating a variable rate of change.

Front

What is the difference between linear and nonlinear equations?

Back

Linear equations can be written in the form y = mx + b, while nonlinear equations cannot be expressed in this form.