Linear and Nonlinear Functions

Front

What is a linear function?

Back

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 rate of change varies, and it can be represented by equations that include exponents, roots, or other non-linear operations.

Tags

CCSS.8.F.A.3

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the function. It indicates how much the y-value changes for a unit change in the x-value.

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a linear function?

Back

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is constant and is equal to the slope of the line.

Tags

CCSS.HSF-LE.A.1B

Front

What does it mean if a function has a constant rate of change?

Back

If a function has a constant rate of change, it means that the function is linear, and the slope remains the same throughout the graph.

Tags

CCSS.HSF-LE.A.1B

Front

What is the significance of a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship between the two variables.

Tags

CCSS.8.EE.B.5

Front

What is the significance of a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship between the two variables.

Tags

CCSS.8.EE.B.5

Front

How can you tell if a graph is nonlinear?

Back

A graph is nonlinear if the rate of change is not constant, meaning the slope varies at different points on the graph.

Tags

CCSS.8.F.A.3