Domain and Range

Front

What is a function?

Back

A relation where each input (x-value) has exactly one output (y-value).

Front

What is the definition of domain?

Back

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

Front

What is the definition of range?

Back

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

Front

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

Back

No, because the x-value 1 has two different y-values (2 and 3).

Front

Identify the domain of the function f(x) = x^2 - 4.

Back

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

Front

Identify the range of the function f(x) = x^2 - 4.

Back

The range is all real numbers greater than or equal to -4, or [-4, ∞).

Front

What is the domain of the function represented by the set {(0,1), (1,-3), (2,-4), (-4,1)}?

Back

The domain is {0, 1, 2, -4}.

Front

What is the range of the function represented by the set {(0,1), (1,-3), (2,-4), (-4,1)}?

Back

The range is {1, -3, -4}.

Front

How can you determine if a relation is a function from a graph?

Back

A relation is a function if any vertical line drawn on the graph intersects it at most once (Vertical Line Test).

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because each x-value has one corresponding y-value.