Domain and Range in Interval Notation

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

How is the interval notation for the domain of a function expressed?

Back

It is expressed using brackets [ ] for inclusive endpoints and parentheses ( ) for exclusive endpoints.

Front

What does the interval notation [-2, 3] represent?

Back

It represents all real numbers x such that -2 ≤ x ≤ 3.

Front

What does the interval notation (-3, 3] represent?

Back

It represents all real numbers x such that -3 < x ≤ 3.

Front

How do you express the domain of a function that includes all real numbers except 2?

Back

The domain can be expressed as (-∞, 2) ∪ (2, ∞).

Front

What is the interval notation for the range of a function that outputs all real numbers?

Back

The range is expressed as (-∞, ∞).

Front

How do you express the range of a function that outputs values from -1 to 3, inclusive?

Back

The range is expressed as [-1, 3].

Front

What does the interval notation (a, b) signify?

Back

It signifies that a and b are not included in the interval.

Front

What is the interval notation for the domain of a function defined for x ≥ 0?

Back

The domain is expressed as [0, ∞).