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When can a histogram be more useful than a data table?
They are more useful when you are just looking for a range of values or intervals quickly
How do you determine whether a graph a mathematical relationship is a function?
Draw a vertical line if the line hits more than one point on the graph then it is not a function.
How can a graph of data be more information than a table of the same data?
It does not. In fact, it usually contains less information because some of the precision of the data in the table may not be easy to retrieve from the graph. However, many people (but not all) find it easier to get a summarised version of the information from a graph than from a table.
How do you draw a graph of sin1by x?
Just as you would draw the graph of any other function: -- Select several different numbers for 'x'. -- For each one, calculate the value of "sin1by x", and mark the point on the graph paper. -- After you've done this for enough values of 'x', you'll start to see the shape of the graph, with whatever twists and turns it may have. From there, you can draw most of it free-hand, without any more calculations.
How to tell if a graph represents a function?
You use the vertical line test. If you can draw a vertical line though the graph and it intersects it only once, it is a function. If the line crosses the graphs more than once it is not.
