Question

Caiden creates the mapping diagram shown. He says this mapping represents a function.
A detailed description of this image is available via the 'View Image Description' button.
View Image Description
Which statement explains whether Caiden is correct?


Caiden is incorrect because
is paired with both
and
.

Caiden is correct because all mappings represent functions.

Caiden is correct because none of the
-values repeat.

Caiden is correct because all the numbers are different.

Answer 1

A mapping is a function exactly when each input (each element in the domain) is paired with one and only one output. So:

- If any domain number has two arrows going to two different outputs, Caiden is incorrect — pick the first choice ("Caiden is incorrect because ___ is paired with both ___ and ___").
- If every domain number has exactly one arrow to a single output, Caiden is correct — pick the second choice ("Caiden is correct because all mappings represent functions").

The third and fourth choices are wrong reasons: a function can have repeated output-values (so "none of the y-values repeat" is not required), and "all the numbers are different" is irrelevant.

Tell me which domain element in the diagram has two arrows (or confirm that none do), and I’ll pick the correct answer for you.