Respuesta :
Step 1: Draw the mapping diagram for the given relation.
Step 2: A relation is a function if each element in the domain is paired with one and only one element in the range.
Step 3: From the mapping diagram, it can be observed that the given relation is not a function as '3' in the domain is paired with two elements - 1 and - 2 in the range and '6' is paired with - 1 and - 2.
Domain Range
3 | -1
|
|
6 | -2
Step 2: A relation is a function if each element in the domain is paired with one and only one element in the range.
Step 3: From the mapping diagram, it can be observed that the given relation is not a function as '3' in the domain is paired with two elements - 1 and - 2 in the range and '6' is paired with - 1 and - 2.
Domain Range
3 | -1
|
|
6 | -2
The method of using a mapping diagram to determine the domain and the range of a relation is outlined in; Steps 1 to 3 below.
- A mapping diagram is one that shows how the elements are paired. Furthermore It is drawn like a flow chart for a function to depict the input and output values.
Now, mapping diagrams consists of two parallel columns. The first column is one that represents the domain of a function while the second column represents the range of the function.
Now the steps in using a mapping diagram to determine the domain and the range of a relation are;
- Step 1: Draw the mapping diagram for the given function relation.
- Step 2: A relation from the mapping diagram will be tagged as a function if each element in the domain column is paired with only one element in the range column
- Step 3: However, if an element in the domain column of the mapping diagram can be paired to than 1 element in the range column, then the relation is said to not be a function.
Read more about mapping diagrams at; https://brainly.com/question/1625866
