T 2.5&3: Relations and Functions. Proportional Relationships

Front

What is the domain of a relation?

Back

The domain of a relation is the set of all possible input values (x-values) for the relation.

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, expressed as y = kx.

Front

How can you identify a proportional relationship on a graph?

Back

A proportional relationship is represented by a straight line that passes through the origin (0,0).

Front

What does it mean for a graph to represent a function?

Back

A graph represents a function if every vertical line intersects the graph at most once.

Front

What is the range of a relation?

Back

The range of a relation is the set of all possible output values (y-values) for the relation.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant.

Front

What is the slope of a line in a proportional relationship?

Back

The slope of a line in a proportional relationship is equal to the constant of proportionality.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Front

What does it mean for a relation to be non-linear?

Back

A relation is non-linear if it does not form a straight line when graphed.