Domain and Range of Linear Functions

Front

What is the definition of Domain in a function?

Back

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

Front

What is the definition of Range in a function?

Back

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

Front

What is the Domain of the function f(x) = 2x + 3?

Back

All Real Numbers.

Front

What is the Range of the function f(x) = 2x + 3?

Back

All Real Numbers.

Front

What does it mean if a function has a limited Domain?

Back

It means there are specific input values that are not allowed or do not produce valid outputs.

Front

What does it mean if a function has a limited Range?

Back

It means the outputs of the function are restricted to a certain set of values.

Front

How do you determine the Domain of a linear function?

Back

The Domain of a linear function is always all real numbers unless specified otherwise.

Front

How do you determine the Range of a linear function?

Back

The Range of a linear function is also all real numbers unless there are restrictions on the output.

Front

What is the Domain of the function f(x) = 1/(x-2)?

Back

All Real Numbers except x = 2.

Front

What is the Range of the function f(x) = 1/(x-2)?

Back

All Real Numbers except y = 0.