Is this a function?

Front

What is a function?

Back

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

Front

Which of the following is NOT a function? (2, 3), (3, 4), (2, 5), (4, 6)

Back

(2, 3), (3, 4), (2, 5), (4, 6) is NOT a function because the x-value 2 has two different y-values (3 and 5).

Front

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

Back

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

Front

What does it mean for a relation to be a function?

Back

It means that for every input, there is a unique output.

Front

Identify the function: (9,5), (10,5), (9,-5), (10,-5)

Back

This is NOT a function because the x-value 9 has two different y-values (5 and -5).

Front

What is the vertical line test?

Back

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

Front

Which set of values is a function? (3,4), (4,-3), (7,4), (3,8)

Back

This is NOT a function because the x-value 3 has two different y-values (4 and 8).

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, which can represent a function or not.

Front

If a table has the following pairs: (1,2), (2,3), (3,4), (1,5), is it a function?

Back

No, because the x-value 1 has two different y-values (2 and 5).

Front

What is an example of a function?

Back

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