8.AF.4 Describing Functions

Front

What is a proportional relationship between two variables?

Back

A proportional relationship is a linear relationship that passes through the origin (0,0).

Front

What does it mean for a graph to be linear?

Back

A linear graph is a straight line that represents a constant rate of change between two variables.

Front

What is a nonlinear relationship?

Back

A nonlinear relationship is one where the rate of change between variables is not constant, resulting in a curved graph.

Front

What is the difference between proportional and nonproportional relationships?

Back

Proportional relationships pass through the origin, while nonproportional relationships do not.

Front

How can you identify a linear equation?

Back

A linear equation can be identified by its form, typically written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the equation of a nonlinear function?

Back

Front

What does it mean if a graph is increasing?

Back

An increasing graph means that as the x-values increase, the y-values also increase.

Front

What does it mean if a graph is decreasing?

Back

A decreasing graph means that as the x-values increase, the y-values decrease.

Front

What is the significance of the origin in a proportional relationship?

Back

The origin (0,0) is significant because it indicates that when one variable is zero, the other variable is also zero.

Front

What is a linear and nonproportional graph?

Back

A linear and nonproportional graph is a straight line that does not pass through the origin.