The graph of a single-variable function f .x/ that is contin
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The graph of a single-variable function f .x/ that is continuous on an interval is a curve that has no breaks in it ther
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The graph of a single-variable function f .x/ that is continuous on an interval is a curve that has no breaks in it there and that intersects any vertical line through a point in the interval exactly once. What analogous statement can you make about the graph of a bivariate function f .x; y/ that is continuous on a region of the xy-plane?
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