Functions, Domain & Range

Front

What symbol is used to indicate that a value is not included in the domain or range?

Back

( )

Front

What is the definition of a function?

Back

Every input has only ONE output.

Front

What is the vertical line test used for?

Back

To determine if a graph represents a function.

Front

If a graph fails the vertical line test, what does it indicate?

Back

It indicates that the graph is not a function.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How can you represent the domain of a function that includes all real numbers except 2?

Back

(-∞, 2) U (2, ∞) or {x | x ≠ 2}.

Front

What does the notation [ ] mean in the context of domain and range?

Back

The value is included (closed interval).

Front

What does the notation ( ) mean in the context of domain and range?

Back

The value is not included (open interval).

Front

If a function has a range of y ≤ 6, what does this mean?

Back

The output values (y) can be any number less than or equal to 6.