Relations, Functions, Domain and Range

Front

What is the definition of a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x-value) and an output (y-value).

Front

What is a function?

Back

A function is a special type of relation where each input (x-value) is associated with exactly one output (y-value).

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How do you determine the domain 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 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) = √(x-1)?

Back

The domain is x ≥ 1.

Front

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

Back

The range is y ≥ 0.

Front

What does it mean for a relation to be a function?

Back

It means that for every x-value in the domain, there is exactly one corresponding y-value.

Front

What is an example of a function?

Back

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