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 brackets and parentheses to indicate whether endpoints are included or excluded.

Front

What does a square bracket [ ] indicate in interval notation?

Back

A square bracket [ ] indicates that the endpoint is included in the interval.

Front

What does a parenthesis ( ) indicate in interval notation?

Back

A parenthesis ( ) indicates that the endpoint is not included in the interval.

Front

How is the interval (-3, 1] represented on a number line?

Back

The interval (-3, 1] includes all numbers greater than -3 and up to and including 1.

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 express the domain of a function that includes all real numbers greater than or equal to -2?

Back

The domain can be expressed in interval notation as [-2, ∞).

Front

What is the interval notation for all real numbers less than -2?

Back

The interval notation is (-∞, -2).

Front

How do you write the interval for all numbers between -2 and 3, including -2 but not 3?

Back

The interval is written as [-2, 3).

Front

What is the difference between open and closed intervals?

Back

Open intervals do not include their endpoints (using parentheses), while closed intervals do include their endpoints (using brackets).