Functions - Domain and Range

Front

What is a function?

Back

A relation that maps every domain value to exactly one range value.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

Is the relation {(1, 2), (1, 3), (2, 4)} a function? Why?

Back

No, because the x-value 1 has two y-values (2 and 3) paired with it.

Front

Is the relation {(1, 2), (2, 3), (3, 4)} a function? Why?

Back

Yes, because each x-value has only one y-value paired with it.

Front

Which mapping diagram is not a function?

Back

A mapping diagram where at least one x-value is paired with more than one y-value.

Front

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

Back

A function is one-to-one if each y-value is paired with exactly one x-value.

Front

What is interval notation?

Back

A way of writing subsets of the real number line using intervals, e.g., (a, b) or [a, b].

Front

What is inequality notation?

Back

A way of expressing the domain or range using inequalities, e.g., x > 0.

Front

How do you determine if a set of ordered pairs represents a function?

Back

Check if any x-value is repeated with different y-values.