Identify a Relation as a Function

Which of the following table of values shows a relation that is a function.​ ​ (a)  

• A.

• B.

• C.

• D.

Identify which statement best describes the graph.

• It is a function since the vertical line will touch the graph at three points.

• It is a function since the vertical line will touch the graph at exactly one point.

• It is a mere relation since the vertical line will touch the graph at three points.

• It is a mere relation since the vertical line will touch the graph at exactly one point.

Which of the following statements is true?

• Every relation is a function.

• Every function is a relation.

• Not all functions are relations.

• All functions are not relations.

What kind of relations illustrates by the map diagram? Label it.

c

b

a

One-to-One

Many-to-One

One-to-Many

Many-to-Many

Is this a function?  (a)  

The domain is​ (b)  

The range is​ (c)  

• Yes

• No

• {-1, 0, 1, 2, 3}

• {-1, 1, 2, 3}

• {1, 2, 3}

• {0, 1, 2, 3}

Function or not? (a)  

Domain =​ (b)  

Range = ​ (c)  

• Function

• Not a Function

• {1, 4}

• {-2, -1, 1, 2}

• {-2, -1, 1, 2, 4}

Function or not? (a)  

Domain = ​ (b)  

Range = ​ (c)  

• Function

• Not a Function

• {-3, 0, 2, 3}

• {-2, 2, 4}

• {0, 2, 3, 4, -3, -2}

Is this a function?  (a)  

The domain is​ (b)  

The range is​ (c)  

• Yes

• No

• {-1, 0, 1, 2, 3}

• {-1, 1, 2, 3}

• {1, 2, 3}

• {0, 1, 2, 3}

Using the vertical line test, what you conclude about the graph you plotted?

It is a ​ (a)   since the vertical line will touch the graph at exactly ​ (b)  

• not a function

• mere relation

• two points.

• function

• one point.

• three points.

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.

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

• No, because the x-value 11 has two y-values pair with it.

• No, because each x-value has only one y-value paired with it.