Linear or Nonlinear

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has 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 form a straight line when graphed. Its rate of change is not constant, and it can take various forms such as quadratic, cubic, or exponential.

Tags

CCSS.8.F.A.3

Front

Identify 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

Which of the following is a characteristic of linear functions?

Back

Linear functions have a constant rate of change and their graphs are straight lines.

Tags

CCSS.HSF-LE.A.1B

Front

What is the equation of a line with a slope of 2 and a y-intercept of -3?

Back

The equation is y = 2x - 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How can you determine if a function is linear or nonlinear from its graph?

Back

If the graph is a straight line, the function is linear. If the graph curves or has bends, the function is nonlinear.

Tags

CCSS.8.F.A.3

Front

What is an example of a nonlinear function?

Back

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

Tags

CCSS.8.F.A.3

Front

What is the difference between a linear equation and a nonlinear equation?

Back

A linear equation represents a straight line, while a nonlinear equation represents a curve or a more complex shape.

Tags

CCSS.8.F.A.3