Domain and Range Interval Notation

Front

What is the definition of domain in mathematics?

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 range in mathematics?

Back

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

Front

What does interval notation represent?

Back

Interval notation is a way of writing subsets of the real number line using intervals, which can be open, closed, or half-open.

Front

What is the interval notation for all real numbers?

Back

(-∞, ∞)

Front

How do you express the domain of a function that includes all real numbers except for a specific value, say 2?

Back

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

Front

What is the interval notation for the domain of the function defined as f(x) = 1/(x-2)?

Back

The domain is (-∞, 2) ∪ (2, ∞) because x cannot equal 2.

Front

How do you write the interval notation for x less than or equal to 5?

Back

(-∞, 5]

Front

What is the interval notation for x greater than 3?

Back

(3, ∞)

Front

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

Back

It signifies a closed interval, meaning both endpoints a and b are included in the interval.

Front

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

Back

It signifies an open interval, meaning neither endpoint a nor b is included in the interval.