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I have never heard anyone call it 'graph paper' and since it doesn't already have a graph on it, the proper term would be 'graphing paper.'
Sketching a graph is drawing an approximation of the graph. The shape of the graph must be correct including the correct number of intercepts with the axes and any asymptotes. You are usually expected to label these. However, you are not required to ensure that the scales on the axes are accurate or other points on the graph are accurately marked.
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The least count of graph paper is determined by the smallest measurable unit on the paper, typically represented by the smallest division or grid square. This value is essential for accurately measuring distances and plotting points on the graph. The least count can vary depending on the type of graph paper, with common values including 1 mm, 0.5 mm, or even 0.1 mm.