Relations, Functions, Domain and Range

Front

Is this a function?

Back

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

Front

All of the x values or inputs are called what?

Back

Domain.

Front

All of the y values or outputs are called what?

Back

Range.

Front

What is the range of the table?

Back

{-4, 0, 1, 3}.

Front

Which relation is NOT a function?

Back

{(1,-5), (-1,6), (1,5), (6,-3)}.

Front

What is a relation in mathematics?

Back

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

Front

What is the definition of a function?

Back

A function is a special type of relation where each input is associated with exactly one output.

Front

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

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What does the domain of a function represent?

Back

The domain represents all possible input values (x-values) for the function.

Front

What does the range of a function represent?

Back

The range represents all possible output values (y-values) for the function.