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A graph is a representation of a thing/system, and can be used to test a hypothesis. For example, if you have a graph of a trend you can find the function of that trend. Then, you can plug in values the graph defines--say, at 2 the graph reaches 5--and if the function works, you know you have modeled the phenomenon correctly. This function testing can work to test a hypothesis, especially in finding trends.
Adverbs for me only describe 2 thing they describe verbs and adjectives.
When using an adjective to describe one thing, use the positive degree. (Wikipedia)
They are the same thing. They give you an accurate representation of all the values in a data set
adjective of quantity describe ''how much'' of a thing is meant.