Relations, Functions, 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

How can you determine if a mapping is a function?

Back

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

Front

What is the domain of a relation?

Back

The domain is the set of all possible x-values (inputs) in a relation.

Front

What is the range of a relation?

Back

The range is the set of all possible y-values (outputs) in a relation.

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 corresponding y-value, indicating it is a function.

Front

Given the relation {(-1,2), (-2,4), (2,5), (0,-2), (2,0)}, what is the domain?

Back

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

Front

Given the relation {(-1,2), (-2,4), (2,5), (0,-2), (2,0)}, what is the range?

Back

The range is {2, 4, 5, -2}.

Front

What is the difference between a function and a non-function?

Back

A function has one output for each input, while a non-function has at least one input with multiple outputs.

Front

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

Back

No, because the input 1 has two different outputs (2 and 3).