Ononot — Let f: \mathbb{R} \to \mathbb{R} be a function and A, B \sub

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Set Theoryhard

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Let $f: \mathbb{R} \to \mathbb{R}$ be a function and $A, B \subseteq \mathbb{R}$ . Consider the sets $S_A = \{ (x, y) \in \mathbb{R}^2 : y = f(x), x \in A \}$ and $S_B = \{ (x, y) \in \mathbb{R}^2 : y = f(x), x \in B \}$ . Which of the following statements is always true?