Identify the mapping diagram that represents the relation and determine whether the relation is a function. {(–2, –5), (–1, –3), (–2, 6), (5, 7)} (1 point) Responses Image with alt text: The value negative 2 is mapped to negative 5 and 6. The value negative 1 is mapped to negative 3. The value 5 is mapped to 7. The relation is labeled as a function. Image with alt text: The value negative 2 is mapped to negative 5 and 6. The value negative 1 is mapped to negative 3. The value 5 is mapped to 7. The relation is labeled as not a function. Image with alt text: The values negative 5 and negative 3 are mapped to negative 2. The value 6 is mapped to negative 1. The value 7 is mapped to 5. The relation is labeled as not a function. Image with alt text: The values negative 5 and negative 3 are mapped to negative 2. The value 6 is mapped to negative 1. The value 7 is mapped to 5. The relation is labeled as a function. Skip to navigation
The correct mapping diagram is:
Image with alt text: The value negative 2 is mapped to negative 5 and 6. The value negative 1 is mapped to negative 3. The value 5 is mapped to 7. The relation is labeled as not a function.
This is because the value negative 2 is mapped to both negative 5 and 6, which violates the definition of a function. In a function, each input value must be mapped to only one output value.
ANSWER IN ABCD FORMAT
C. Image with alt text: The values negative 5 and negative 3 are mapped to negative 2. The value 6 is mapped to negative 1. The value 7 is mapped to 5. The relation is labeled as not a function.
To determine whether a relation is a function, we need to check if each input (x-value) has only one corresponding output (y-value).
Let's go through the given mapping diagram:
- The value -2 is mapped to both -5 and 6.
- The value -1 is mapped to -3.
- The value 5 is mapped to 7.
Since -2 has two different outputs (two y-values), this means that the relation is not a function.
Therefore, the correct mapping diagram that represents this relation and indicates that it is not a function is:
Image with alt text: The value negative 2 is mapped to negative 5 and 6. The value negative 1 is mapped to negative 3. The value 5 is mapped to 7. The relation is labeled as not a function.