Which relation represents the graph of the rule \(y=x+2\) for the inputs in the set \(A=\{1,3\}\)?

Correct answer: \(\{(1,3),(3,5)\}\)

Using the rule \(y=x+2\), when \(x=1\), \(y=3\), and when \(x=3\), \(y=5\). Thus, the ordered pairs are \((1,3)\) and \((3,5)\), so option A is correct. Option C reverses the ordered-pair arrangement, while option D represents the identity rule \(y=x\). Exam tip: Always write graph points in the order \((x,y)\).