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Multivariate is probably the most accurate answers. Graphs need not be bivariate - you can have graphs in 3 or more dimensions - not easy to visualise in more than 3-d but that does not mean they cannot exist. Graphs need not represent exact relationships - as any scattergram will demonstrate. Graphs are simply visual representations of information, presented in a form that [hopefully] conveys he information in an effective way. For one of my favourite semi-numeric graphs follow the link to see a graphical representation of Napoleon's invasion of Rusia.
Graphing actually show you trends and gives you information you may not "see" otherwise.
Graphs help you see relationships in things such as inflation in money, or rising population.
There are various types of graphs. You need to be more specific. Graphs exist for thousands of subjects, and each one is different. But, basically, you need to gather all verifiable information on the subject in question before you begin.
Yes, without exception.