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Use the image to answer the question.

Based on the mapping diagram of the relation, determine which of the options below is accurate.

(1 point)
Responses

The relation is a function.
The relation is a function.

The relation is not a function.
The relation is not a function.

3 answers

To determine if the relation is a function based on a mapping diagram, we need to check for the definition of a function: each input (or element in the domain) must be associated with exactly one output (or element in the range).

If the mapping diagram shows that any input value is paired with more than one output value, then the relation is not a function. Conversely, if each input value pairs with exactly one output value, then the relation is a function.

Since I don't have access to the actual image, you'll need to examine the diagram yourself. If any input is linked to multiple outputs, the correct response is:

The relation is not a function.

If every input links to only one output, the correct response is:

The relation is a function.

Please review the mapping diagram to make the appropriate choice based on the above criteria.

the 4 and 3 goes to 1 , 2 and 1 goes to 4

Based on your description:

  • The input value 4 is mapped to the output 1.
  • The input value 3 is also mapped to the output 1.
  • The input value 2 is mapped to the output 4.
  • The input value 1 is also mapped to the output 4.

In this case, both inputs 4 and 3 are associated with the output 1, and both inputs 2 and 1 are associated with the output 4.

Since the inputs (4 and 3) are mapped to the same output (1), and the inputs (2 and 1) are mapped to the same output (4), the requirement for a function is not satisfied.

Therefore, the correct response is:

The relation is not a function.