Linear vs Non-linear Practice Problems

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line. Its graph can be a curve or any shape that is not a straight line.

Tags

CCSS.8.F.A.3

Front

How can you identify a linear function from its graph?

Back

A linear function will have a constant rate of change and its graph will be a straight line.

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Front

How can you identify a nonlinear function from its graph?

Back

A nonlinear function will have a varying rate of change and its graph will be curved or have bends.

Tags

CCSS.8.F.A.3

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

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 run (change in y over change in x).

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept represent in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

Can a linear function have a slope of zero?

Back

Yes, a linear function can have a slope of zero, which means it is a horizontal line.

Tags

CCSS.8.EE.B.5

Front

What is an example of a nonlinear function?

Back

An example of a nonlinear function is y = x^2, which graphs as a parabola.

Tags

CCSS.8.F.A.3

Front

What is the difference between a linear and nonlinear graph?

Back

A linear graph is a straight line, while a nonlinear graph can be curved or have various shapes.

Tags

CCSS.8.F.A.3