Domain & Range of Graphs (Set & Interval Notations)

Front

What is the definition of 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 definition of 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

What is set-builder notation?

Back

Set-builder notation is a mathematical notation for describing a set by stating the properties that its members must satisfy.

Front

What is interval notation?

Back

Interval notation is a way of representing a range of numbers using parentheses and brackets to indicate whether endpoints are included.

Front

How is the interval notation for the domain {x | x ≥ 6} expressed?

Back

The interval notation for the domain {x | x ≥ 6} is [6, ∞).

Front

How is the interval notation for the range {y | y < 3} expressed?

Back

The interval notation for the range {y | y < 3} is (-∞, 3).

Front

What does the notation (a, b) represent in interval notation?

Back

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

Front

What does the notation [a, b] represent in interval notation?

Back

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

Front

What does the notation (a, b] represent in interval notation?

Back

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

Front

What does the notation [a, b) represent in interval notation?

Back

The notation [a, b) represents a half-open interval, meaning that a is included, but b is not included.