Question

Which mapping diagrams represent functions (choose all that apply)

which mapping diagrams represent relations that are not functions (choose all that apply)

in mapping diagram D what is the domain

in mapping diagram D what is the range

Answer 1

A) function

B) not function

C) not function

D) function

D has domain {1,3,5} and range {2,4,6}.

Explanation:

So for a mapping diagram to show a function there can only be at most one line segment coming from a number in the first circle.

So let's look at the problems:

A) There is one segment coming from 2. (2 to 1)

There is one segment coming from 4. (4 to 3)

There is one segment coming from 6. (6 ro 5).

So this is a function.

The domain is the first numbers: {2,4,6}.

The range is the second numbers: {1,3,5}.

B) There is two segments coming from 1. So it is over with, this is not a function.

The domain is the first numbers: {0,1,4}.

The range is the second numbers: {-2,-1,0,1,2}.

C) There is two segments coming from a. So it is over with, this is not a function.

The domain is the first numbers: {a,b,c}.

The range is the second numbers: {4,5,6,7}.

D) There is one segment coming from each 1, 3, and 5. So this is a function.

The domain is the first numbers: {1,3,5}.

The range is the second numbers: {2,4,6}.