Domain and Range in Interval Notation

Front

What is the definition of domain in mathematics?

Back

The domain of a function is the complete set of possible values of the independent variable (usually x) for which the function is defined.

Front

What is the definition of range in mathematics?

Back

The range of a function is the complete set of possible values of the dependent variable (usually y) that result from using the function.

Front

How is interval notation used to represent the domain?

Back

Interval notation is a way of writing subsets of the real number line. It uses parentheses and brackets to indicate whether endpoints are included or excluded.

Front

What does the notation (-∞, ∞) represent?

Back

This notation represents all real numbers, indicating that the domain includes every possible value.

Front

Convert the set builder notation {x | x ≥ 6} to interval notation.

Back

The interval notation is [6, ∞).

Front

What does the interval notation (-∞, 5] signify?

Back

This notation signifies that the domain includes all real numbers less than or equal to 5.

Front

How do you read the domain of a graph?

Back

The domain is found by reading the ends of a graph from left to right.

Front

What is the difference between open and closed intervals?

Back

An open interval (a, b) does not include its endpoints, while a closed interval [a, b] includes its endpoints.

Front

Convert the inequality x < 8 into interval notation.

Back

The interval notation is (-∞, 8).

Front

What does the notation [6, ∞) indicate about the number 6?

Back

The notation [6, ∞) indicates that 6 is included in the domain.