Relations & Functions Practice

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

How do you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

Front

What does an open circle on a graph indicate?

Back

An open circle indicates that the value at that point is not included in the range (use < or >).

Front

What does a closed circle on a graph indicate?

Back

A closed circle indicates that the value at that point is included in the range (use ≤ or ≥).

Front

If a function has a range of -3 < y < 3, what does this mean?

Back

This means that the output values (y-values) can be any number greater than -3 and less than 3, but not including -3 and 3.

Front

What is the difference between a function and a relation?

Back

A relation is any set of ordered pairs, while a function is a specific type of relation where each input has one output.

Front

What is the notation for the domain of a function?

Back

The domain can be expressed in interval notation, such as [a, b] for closed intervals or (a, b) for open intervals.

Front

What does the notation {2 ≤ x ≤ 7} represent?

Back

This notation represents the domain of a function where x can take any value from 2 to 7, inclusive.