\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
A rule \(g\) maps elements from the set \(A = \{1, 2, 3\}\) to the set \(B = \{a, b, c\}\). The mappings are shown in the diagram below.
Is \(g\) a function? Explain your reasoning.
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