Mathematics

Mathematics

Problem

A relation R={(1,4),(3,4)}R=\{(1,4),(3,4)\} is defined from the set A={1,2,3}A=\{1,2,3\} to the set B={4,5,6}B=\{4,5,6\}. Which of the following statements correctly identifies the range and the codomain of RR? a) Range = {4,5,6}\{4,5,6\}, Codomain = {4}\{4\} b) Range = {4,5,6}\{4,5,6\}, Codomain = {4,5,6}\{4,5,6\} c) Range = {4}\{4\}, Codomain = {4,5,6}\{4,5,6\} d) Range = {1,3}\{1,3\}, Codomain = {4,5,6}\{4,5,6\}
Intuitive explanation

The key distinction here is understanding that codomain and range are not the same thing. The codomain is the entire set BB that you're allowed to map into, while the range is only the actual outputs that appear in your relation. Look at which elements of BB are actually paired with something in AA through RR, versus the full set BB itself—that's your answer.

Intuitive explanation

The key distinction here is understanding that codomain and range are not the same thing. The codomain is the entire set BB that you're allowed to map into, while the range is only the actual outputs that appear in your relation. Look at which elements of BB are actually paired with something in AA through RR, versus the full set BB itself—that's your answer.

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