Question

Fill in the blanks below in order to justify whether or not the mapping
shown represents a function.
Set A
Set B
-4
4
ол
The mapping diagram above
va function since
where there
in
Sushmit Answer

Answer 1

Answer:

The mapping diagram above is a function since there are no two values (integers) in the range (Set B) where there is only one value (integer) in the domain (Set A) mapped unto them

Step-by-step explanation:

By definition a function is an association between the individual elements within two sets such that all element in one set is mapped to precisely one element of the other set

In the given example, all the elements in Set A are mapped to exactly one element of the Set B

That is the function from A to B is the set C (-1, -4), (9, 5), (1, 4), whereby the first component of the ordered pair in the set C are the elements of the set A.

Answer 2

The mapping diagram above is a function since there are no two values in set B where there is only one value in Set A mapped to them.

• A function has a very unique attribute of having one output attributed to each input.

• The Set A is the domain while set B denotes the range. Hence, each value in the domain would have exactly one value in the range which would be different for each value in the domain.

Therefore, since the mapping diagram illustrates a 1 input to 1 output relationship, then it is a function.

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