Domain and Range

Front

What is the definition of Range in mathematics?

Back

The Range is the set of all possible output values (y-values) of a function, typically represented as the set of all y such that y ≤ 6.

Front

How do you find the Range of a function?

Back

To find the Range, identify all the output values that the function can produce based on its domain.

Front

What is the definition of Domain in mathematics?

Back

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

Front

How do you find the Domain of a function?

Back

To find the Domain, determine all the input values that the function can accept without resulting in undefined expressions.

Front

What is the Range of the set {-1, 0, 2, 3}?

Back

The Range of the set {-1, 0, 2, 3} is the set itself, which includes the values -1, 0, 2, and 3.

Front

What does it mean when the Range is expressed as y > 0?

Back

It means that the output values of the function are all positive numbers, excluding zero.

Front

What is the Range of a function that outputs all real numbers?

Back

The Range is all real numbers, meaning there are no restrictions on the output values.

Front

What is the significance of identifying the Range of a function?

Back

Identifying the Range helps understand the behavior of the function and the possible outputs based on the inputs.

Front

Can the Range of a function be infinite?

Back

Yes, the Range can be infinite, such as when it includes all real numbers or extends to positive or negative infinity.

Front

What is the relationship between Domain and Range?

Back

The Domain consists of all possible input values, while the Range consists of all possible output values resulting from those inputs.