1. Let A:= \{x \in \mathbb{R} / - 1 <= x <= 1\} ; and B:= \{x \in \mathbb{R} / - 1 <= x <= 1\} and consider the subset C:=\ (x, y) / (x ^ 2) y ^ 2 = 1 of A x B. Is this set a function? Explain. 2. Draw diagrams in the plane of Cartesian products A x B for the given sets A and B. 2.1 AxeR:1x2 or 3 <= x <= 4 \ , B=\ x \in \mathbb{R} / x = 1 or x = 2 . 2.3 A = \{1, 2, 3\} B = \{x \in \mathbb{R} / 1 <= x <= 3\} 1 3. Let f(x),x 0, x R. 3.1 Determine the direct image f(E) where E:= \{x \in \mathbb{R} / 1 <= x <= 2\} 3.2 Determine the inverse image f(G) where G:= \{x \in \mathbb{R} / 1 <= x <= 4\}