Function, Relations, Domain,and Range

Front

What is a function?

Back

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

Front

What is a relation?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

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 can you determine if a relation is a function?

Back

A relation is a function if no x-value is paired with more than one y-value.

Front

What does it mean if a graph passes the vertical line test?

Back

If a graph passes the vertical line test, it means that for every x-value, there is only one y-value, indicating it is a function.

Front

Given the relation {(1,2), (2,3), (3,4)}, what is the domain?

Back

The domain is {1, 2, 3}.

Front

Given the relation {(1,2), (2,3), (3,4)}, what is the range?

Back

The range is {2, 3, 4}.

Front

Is the relation {(2,3), (2,4)} a function? Why or why not?

Back

No, because the x-value 2 is paired with two different y-values (3 and 4).

Front

What is an example of a function?

Back

An example of a function is f(x) = x + 1, where each x-value has a unique y-value.