Domain and Range

Front

What is the definition of Domain in mathematics?

Back

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

Front

What is the definition of Range in mathematics?

Back

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

Front

In interval notation, what do parentheses ( ) indicate?

Back

That the endpoint is not included in the interval.

Front

In interval notation, what do square brackets [ ] indicate?

Back

That the endpoint is included in the interval.

Front

How do you determine the domain of a function from its graph?

Back

By identifying the x-values that the graph covers from left to right.

Front

How do you determine the range of a function from its graph?

Back

By identifying the y-values that the graph covers from bottom to top.

Front

What is the domain of the function represented by the interval (-2, 3]?

Back

All x-values greater than -2 and less than or equal to 3.

Front

What is the range of the function represented by the interval (-∞, ∞)?

Back

All real numbers.

Front

What does it mean if a graph has a domain of [-3, 4]?

Back

The function includes all x-values from -3 to 4, including -3 and 4.

Front

What does it mean if a graph has a range of [-1, 3]?

Back

The function includes all y-values from -1 to 3, including -1 and 3.