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For each expression f(x,y) below, D denotes the (natural/largest possible) do- main corresponding to f(x, y). In each case: (i) say whether or not each
For each expression f(x,y) below, D denotes the (natural/largest possible) do- main corresponding to f(x, y). In each case: (i) say whether or not each of the given points belongs to D and justify your answer briefly; (ii) write down an expression for D using set notation; (iii) and draw a sketch of D. (a) f(x, y) = 3x+4y. (2, 0), (3, -4), (4, -3). (b) f(x, y) = V4x - 2y. (1, 1), (1, -3), (1, 3). (c) f(x, y) = 2 4. (1,0), (1, 1), (-1,0). (d) f(x, y) = V2x2 + 2y2 - 16. (2, 2), (0, 3), (-3, 1). (e) f(x, y) = log(y - (x - 1)2). (2, 0). (0, 2), (1, 1). (f) f(x, y) = 72 472 . (1, 4). (4, 1), (0, 1). (g) f(x,y) = (y+1)(x 3) . (-1, 0), (0, 3). (3, 0). (h) f(x, y) = 12 -3x2 - 4y2. (1, 1), (2, 0). (2, 1)
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