Identify Functions

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 not a function?

Back

A relation is not a function if at least one input (x-value) has more than one output (y-value).

Front

Is the relation (2,3), (2,4), (3,5) a function?

Back

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

Front

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

Back

Yes, because each x-value has only one y-value paired with it.

Front

What does it mean for a set of ordered pairs to represent a function?

Back

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

Front

How can you determine if a table represents a function?

Back

Check if any x-value in the table is repeated; if it is, then it is not a function.

Front

Which of the following is a function: (1,2), (1,3), (2,4) or (1,2), (2,3), (2,4)?

Back

(1,2), (2,3), (2,4) is not a function because the x-value 2 has multiple y-values.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value has only one y-value.

Front

What is an example of a function?

Back

The relation (1,2), (2,3), (3,4) is a function because each x-value has a unique y-value.