Domain and Range

Front

What is the definition of a function?

Back

A function is a relation in which 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

Identify the domain of the relation {(2, 3), (4, 5), (6, 7)}.

Back

The domain is {2, 4, 6}.

Front

Identify the range of the relation {(2, 3), (4, 5), (6, 7)}.

Back

The range is {3, 5, 7}.

Front

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

Back

It means that at least one x-value is paired with more than one y-value.

Front

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

Back

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

Front

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

Back

The range is all real numbers, or (-∞, ∞).

Front

What is an example of a function?

Back

An example of a function is f(x) = x^2, where each x-value has one corresponding y-value.