Linear v. Nonlinear

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, a circle, or any other shape that is not a straight line.

Tags

CCSS.8.F.A.3

Front

What is the slope in a linear equation?

Back

The slope (m) in a linear equation represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Tags

CCSS.8.EE.B.5

Front

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

Back

The y-intercept (b) is the point where the line crosses the y-axis. It represents the value of y when x is 0.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Give an example of a linear equation.

Back

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

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Give an example of a nonlinear equation.

Back

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

Tags

CCSS.8.F.A.3

Front

What is the difference between linear and nonlinear graphs?

Back

Linear graphs are straight lines, while nonlinear graphs can be curves or other shapes. Linear graphs have a constant rate of change, whereas nonlinear graphs do not.

Tags

CCSS.8.F.A.3

Front

What is a quadratic function?

Back

A quadratic function is a type of nonlinear function that can be expressed in the form y = ax^2 + bx + c, where a, b, and c are constants.

Front

What is a piecewise function?

Back

A piecewise function is a function that has different expressions or rules for different parts of its domain.

Front

What is a constant function?

Back

A constant function is a linear function where the slope is 0, meaning it does not change and graphs to a horizontal line.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2