Relations as Function

1. 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.

Organize these options into the right categories

Groups:

(a) Function

,

(b) Not a Function

• {(Mickey, mouse), (Bugs, Bunny)}

• {(January, 1), (January, 2)}

• {(spoon, fork), (spoon, plate)}

• {(notebook, pen), (paper, pen),}

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

• A.
• B.
• C.
• D.

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

c

b

a

Many-to-Many

One-to-Many

One-to-One

Many-to-One

Maria, a Grade 8 student loves to share snacks to her closest friends as shown through these pairs:

{(Ana, sandwich), (Juan, sandwich), (Peter, sandwich)}.

Which of the following correspondence best describes the given set?

• Many-to-Many

• Many-to-One

• One-to-Many

• One-to-One

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.

Plot the following set of data: {(2,4), (4, 6), (0, 0), (6,8), (-2, -2), (-4, -4)}

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.

All ​ ​ (a)   are ​ (b)   , but not all ​ (c)   ​are (d)   .

• functions
• relations
• mere relation
• not a function
• domain
• range