Function & Domain and Range

Front

What is a function?

Back

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

Front

How can you determine if a relation is a function from a set of ordered pairs?

Back

Check if any x-value is repeated with different y-values. If so, it is not a function.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

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

Back

{1, 2, 3}.

Front

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

Back

{2, 3, 4}.

Front

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

Back

It means that the graph represents a function, as no vertical line intersects the graph at more than one point.

Front

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

Back

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

Front

What is the domain of the relation shown in the table: {(6, 12), (18, 24)}?

Back

{6, 18}.

Front

What is the range of the relation shown in the table: {(3, 9), (15, 16)}?

Back

{9, 16}.