Domain and Range

Front

What is the definition of a function?

Back

A function is a relation where each input (x-value) is paired with exactly one output (y-value).

Front

What is the domain of a relation?

Back

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

Front

What is the range of a relation?

Back

The range is the set of all possible output values (y-values) for a function.

Front

Is the relation {(1, 2), (2, 3), (1, 4)} a function?

Back

No, because the x-value 1 is paired with two different y-values (2 and 4).

Front

What is the domain of the relation {(3, 5), (4, 6), (5, 7)}?

Back

The domain is {3, 4, 5}.

Front

What is the range of the relation {(1, 2), (2, 3), (3, 4)}?

Back

The range is {2, 3, 4}.

Front

If a function has a domain of {1, 2, 3}, what can you say about its range?

Back

The range can vary, but it must have a unique output for each input in the domain.

Front

What does it mean if a relation is not a function?

Back

It means that at least one input (x-value) is associated with more than one output (y-value).

Front

Identify the range of the function f(x) = x^2 for x in {0, 1, 2}.

Back

The range is {0, 1, 4}.

Front

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

Back

The domain is all real numbers except x = 0.