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For each function, do the following: • Sketch the cross-sections f (−1, y), f (0, y), f (1, y), f (x, −1), f (x, 0), f (x, 1), and any others you think might help you understand the graph of the function. • Sketch a contour plot of f . 1. f (x, y) = xy 2. f (x, y) = x2 3. f (x, y) = x2 + y p 4. f (x, y) = x2 + y 2 5. f (x, y) = x2 − y 2 The following equations in x, y, and z are not functions. Still, the set of points in 3-space satisfying the equation will create a surface in 3-space. For equation, describe the surface. 1. x2 + z 2 = 1 2. x = 1 3. x = y