Functions, Domain, & Range SOL Review

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the independent variable in an experiment?

Back

The independent variable is the variable that is changed or controlled in a scientific experiment to test its effects on the dependent variable.

Front

What is the dependent variable in an experiment?

Back

The dependent variable is the variable that is measured and affected in the experiment, depending on the independent variable.

Front

Define domain in the context of functions.

Back

The domain of a function is the complete set of possible values of the independent variable.

Front

Define range in the context of functions.

Back

The range of a function is the complete set of possible values of the dependent variable.

Front

How do you identify the independent variable in a given scenario?

Back

The independent variable is usually the one that is manipulated or changed by the experimenter.

Front

What is the domain of the relation {(-4, 2), (-2, 3), (-1, 5), (0, 1), (1, 4), (2, 6)}?

Back

The domain is {-4, -2, -1, 0, 1, 2}.

Front

What is the range of the relation {(-4, 2), (-2, 3), (-1, 5), (0, 1), (1, 4), (2, 6)}?

Back

The range is {1, 2, 3, 4, 5, 6}.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, typically representing a relationship between two sets.