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

Identify the Domain: -3 ≤ x < 2

Back

The domain includes all x-values from -3 to just below 2.

Front

Identify the Range: -7 ≤ y ≤ 2

Back

The range includes all y-values from -7 to 2, inclusive.

Front

What does it mean if a function has a Domain of All Real Numbers?

Back

It means that any real number can be used as an input for the function.

Front

What does it mean if a function has a Range of 3 ≤ y < ∞?

Back

It means that the output values start from 3 and go up to infinity, not including 3.

Front

Identify the Domain of the graph: -3 ≤ x ≤ 3

Back

The domain includes all x-values from -3 to 3, inclusive.

Front

Identify the Range of the function: -3 ≤ y ≤ 5

Back

The range includes all y-values from -3 to 5, inclusive.

Front

What is the significance of closed intervals in Domain and Range?

Back

Closed intervals indicate that the endpoints are included in the set.

Front

What is the significance of open intervals in Domain and Range?

Back

Open intervals indicate that the endpoints are not included in the set.