Question

Look at this mapping diagram:

Domain
Range
3
–9
12
5
11
17
18
11
4

Is this relation a function? 3 is [ointing at 17
-9 is pointing at 11
12 is pointing at 18
5 is poniting at 18
11 is pointing at 4

Answer 1

To determine if the relation represented in the mapping diagram is a function, we need to check if each element in the domain is associated with exactly one element in the range.

From your description:

- 3 maps to 17
- -9 maps to 11
- 12 maps to 18
- 5 maps to 18
- 11 maps to 4

Now, let's analyze the mappings:

- The number 3 points to 17 (1 mapping)
- The number -9 points to 11 (1 mapping)
- The number 12 points to 18 (1 mapping)
- The number 5 points to 18 (1 mapping)
- The number 11 points to 4 (1 mapping)

In the case of the number 5, it points to 18, which is the same as 12. This does not violate the definition of a function, which allows different domain elements to map to the same range element, as long as each domain element only points to one range element.

Since each element in the domain (3, -9, 12, 5, and 11) is associated with exactly one element in the range, the relation is indeed a function.