Domain and Range

Front

What is the definition of 'Domain' in a relation?

Back

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

Front

What is the definition of 'Range' in a relation?

Back

The range of a relation is the set of all possible output values (y-values) that result from the input values in the domain.

Front

How do you determine the domain of a function from a 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 a 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) = 1/x?

Back

The domain is all real numbers except x = 0.

Front

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

Back

The range is all real numbers y such that y ≥ 0.

Front

True or False: The domain of a function can include negative numbers.

Back

True, the domain can include negative numbers depending on the function.

Front

What is the domain of the relation given by the set of points {(1,2), (3,4), (5,6)}?

Back

The domain is {1, 3, 5}.

Front

What is the range of the relation given by the set of points {(1,2), (3,4), (5,6)}?

Back

The range is {2, 4, 6}.

Front

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

Back

The domain is all real numbers x such that x ≥ 0.