If \(f:\{1,2,3\}\to\{0,1,2,3\}\) and \(f(x)=x-1\), which of the following is the graph of \(f\)?

Correct answer: \(\{(1,0),(2,1),(3,2)\}\)

The graph of a function consists of ordered pairs \((x,f(x))\). Here, \(f(1)=0\), \(f(2)=1\), and \(f(3)=2\), so the graph is \(\{(1,0),(2,1),(3,2)\}\). Option B represents \(f(x)=x\), option C reverses the roles of the input and output values, and option D assigns two outputs to the same input 1, so it is not the graph of a function. Exam tip: evaluate the function at every domain element and write each result as \((x,f(x))\).