Functions, 2ADV EQ-Bank 01

A set of ordered pairs \((x, y)\) on the coordinate plane are represented by set \(A\) below:

\(A=\{(1,3),(4,6),(5,6),(0,1),(1,7)\}\)

Explain if Set \(A\) a function or a relation? (2 marks)

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\(\text {If set \(A\) is a function, there can only be one \(y\)-value}\)

\(\text{for any given } x \text{-value.}\)

\(\text{This is not the case} \ \Rightarrow\ (1,3),(1,7)\)

\(\therefore\ \text{Set} \ A \ \text {is a relation.}\)

Show Worked Solution

\(\text {If set \(A\) is a function, there can only be one \(y\)-value}\)

\(\text{for any given } x \text{-value.}\)

\(\text{This is not the case} \ \Rightarrow\ (1,3),(1,7)\)

\(\therefore\ \text{Set} \ A \ \text {is a relation.}\)