Function/Not 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

What is the vertical line test?

Back

The vertical line test is a method to determine if a relation is a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

Given the set of ordered pairs {(-2,3), (-4,8), (3,1), (-2,9)}, is this a function?

Back

No, it is not a function because the x-value -2 is associated with two different y-values (3 and 9).

Front

What does it mean if a relation has repeating x-values?

Back

If a relation has repeating x-values, it is not a function because a function cannot have the same input produce different outputs.

Front

Identify if the following relation is a function: {(0,3), (3,6), (0,2)}.

Back

Not a function, because the x-value 0 is associated with two different y-values (3 and 2).

Front

Identify if the following relation is a function: {(8,3), (2,10), (9,1), (8,10)}.

Back

Not a function, because the x-value 8 is associated with two different y-values (3 and 10).

Front

Identify if the following relation is a function: {(9,0), (8,0), (10,0), (9,1)}.

Back

Not a function, because the x-value 9 is associated with two different y-values (0 and 1).

Front

Identify if the following relation is a function: {(2,5), (12,3), (-39,3)}.

Back

Yes, it is a function because all x-values are unique.

Front

What is the definition of a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x-value) and an output (y-value).

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 that corresponds to multiple outputs.