Functions, EXT1 F1 2025 MET2 5 MC Which of the following sets represents a function that has an inverse function? \(\{(1,3),(2,0),(2,1)\}\) \(\{(-1,3),(2,2),(3,1)\}\) \(\{(-1,3),(0,1),(1,3)\}\) \(\{(1,0),(2,3),(1,3)\}\) Show Answers Only \(B\) Show Worked Solution \(\text{Option A and D are not functions (one x-value has two y-values).}\) \(\text{Consider option B:}\) \(\{(-1,3),(2,2),(3,1)\} \ \ \text{is a} \ 1:1 \ \text {function.}\) \(\therefore \ \text {Inverse exists}\) \(\text{Note that option C is not one-to-one because two different inputs (-1 and 1) map to}\) \(\text{the same output (3), so its inverse would not be a function.}\) \(\Rightarrow B\)