Relations and Functions Review

Front

What is the domain of a relation?

Back

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

Front

Given the relation {(1, 2), (3, 6), (-1, 2), (3, -9)}, what is the domain?

Back

{1, 3, -1}

Front

What is a function?

Back

A relation where each input has exactly one output.

Front

What is the independent variable in an experiment?

Back

The variable that is changed or controlled to test its effects on the dependent variable.

Front

In the relation {(-1,3), (4,6), (-1,6), (2,4)}, is it a function?

Back

No, because the input -1 has two different outputs (3 and 6).

Front

What is the range of a relation?

Back

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

Front

How do you determine if a relation is a function using a graph?

Back

A relation is a function if any vertical line drawn through the graph intersects it at most once.

Front

What is the difference between a relation and a function?

Back

A relation can have multiple outputs for a single input, while a function cannot.

Front

What does it mean for a function to be one-to-one?

Back

Each output is paired with exactly one input, meaning no two different inputs produce the same output.

Front

What is a dependent variable?

Back

The variable that is measured or observed in an experiment, which is affected by the independent variable.