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 (input) 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 (output) that results from the function.

Front

Given the function f(x) = 2x + 3, what is its domain?

Back

The domain is all real numbers, as there are no restrictions on x.

Front

Given the function f(x) = 1/(x-2), what is its domain?

Back

The domain is all real numbers except x = 2, since the function is undefined at that point.

Front

What is the domain of the function represented by the ordered pairs (1, 2), (3, 4), (5, 6)?

Back

The domain is {1, 3, 5}.

Front

What is the range of the function represented by the ordered pairs (1, 2), (3, 4), (5, 6)?

Back

The range is {2, 4, 6}.

Front

How do you determine the domain from a graph?

Back

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

Front

How do you determine the range from a graph?

Back

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

Front

What is the domain of the function graphed on the line segment from (-2, 0) to (2, 4)?

Back

The domain is [-2, 2].

Front

What is the range of the function graphed on the line segment from (-2, 0) to (2, 4)?

Back

The range is [0, 4].