Domain and Range Interval Notation

Front

What is the definition of Domain in mathematics?

Back

The set of all possible input values (x-values) for a function.

Front

What is the definition of Range in mathematics?

Back

The set of all possible output values (y-values) for a function.

Front

What does interval notation represent?

Back

A way to describe a range of values using brackets and parentheses.

Front

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

Back

It indicates that the endpoint is included in the interval.

Front

What does a parenthesis ( ) indicate in interval notation?

Back

It indicates that the endpoint is not included in the interval.

Front

What is the domain of the function f(x) = x^2?

Back

(-∞, ∞) because any real number can be squared.

Front

What is the range of the function f(x) = x^2?

Back

[0, ∞) because the output is always non-negative.

Front

How do you express the domain of a function that is defined for all real numbers except x = 2?

Back

(-∞, 2) U (2, ∞) where U denotes union.

Front

What is the domain of the function f(x) = 1/x?

Back

(-∞, 0) U (0, ∞) because x cannot be zero.

Front

What is the range of the function f(x) = 1/x?

Back

(-∞, 0) U (0, ∞) because the output cannot be zero.