Interval Notation

Front

What is interval notation?

Back

Interval notation is a mathematical notation used to represent a range of values on the number line. It uses parentheses and brackets to indicate whether endpoints are included or excluded.

Front

What does the notation (a, b) represent?

Back

The notation (a, b) represents an open interval, meaning that the endpoints a and b are not included in the interval.

Front

What does the notation [a, b] represent?

Back

The notation [a, b] represents a closed interval, meaning that the endpoints a and b are included in the interval.

Front

What does the notation (a, b] represent?

Back

The notation (a, b] represents a half-open interval, meaning that the endpoint a is not included, while b is included.

Front

What does the notation [-∞, b) represent?

Back

The notation [-∞, b) represents all real numbers less than b, including b but not including negative infinity.

Front

What does the notation (a, ∞) represent?

Back

The notation (a, ∞) represents all real numbers greater than a, not including a.

Front

How do you represent the union of two intervals?

Back

The union of two intervals is represented by the symbol U. For example, (-∞, -2) U (5, ∞) represents all numbers less than -2 and all numbers greater than 5.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you write the inequality x ≥ -7 and x < 8 in interval notation?

Back

The inequality x ≥ -7 and x < 8 can be written in interval notation as [-7, 8).