Domain and Range

Front

What is the definition of Domain in a function?

Back

The domain of a function is the complete set of possible values of the independent variable (usually x) for which the function is defined.

Front

What is the definition of Range in a function?

Back

The range of a function is the complete set of possible values of the dependent variable (usually y) that result from using the function.

Front

How do you determine the domain of a function from its graph?

Back

The domain can be determined by identifying all the x-values that the graph covers.

Front

How do you determine the range of a function from its graph?

Back

The range can be determined by identifying all the y-values that the graph covers.

Front

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

Back

The domain is all real numbers, denoted as (-∞, ∞).

Front

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

Back

The range is also all real numbers, denoted as (-∞, ∞).

Front

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

Back

The domain is all real numbers except x = 0, denoted as (-∞, 0) ∪ (0, ∞).

Front

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

Back

The range is all real numbers except y = 0, denoted as (-∞, 0) ∪ (0, ∞).

Front

If a function has a domain of {0, 1, 2, 3, 4}, what does this mean?

Back

It means the function is defined only for the input values 0, 1, 2, 3, and 4.

Front

If a function has a range of {5, 10, 15}, what does this mean?

Back

It means the output values of the function can only be 5, 10, or 15.