Consider the relation from to

MATHEMATICS · Single correct · AoPS · Mathematics · Functions · Functions

Problem

Consider the relation S={(−2,4),(−1,1),(0,0),(−2,5)}S=\{(-2,4),(-1,1),(0,0),(-2,5)\} from R\mathbb R to R\mathbb R. Which statement about SS is correct? (a) SS is a function because all outputs are distinct numbers. (b) SS is not a function because the input −2-2 corresponds to two different outputs. (c) SS is a function with domain {−2,−1,0}\{-2,-1,0\}. (d) SS is a function because an input may have more than one output, but each output comes from only one input.

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