Graphing exponential functions on semi-log graph paper makes all the difference in the world. In my previous blog post, I talked about graphing exponential functions on regular graph paper. Using the regular paper, only a few point could fit on the graph. not really giving a good view of the exponential functions. Using semi-log graph paper, I was able ta graph almost all of my points. The semi-log provided a good visual of the lines the points created and fit everything I wanted to graph. Just look at the picture above. This is just a graph I found online, but you can see how many points were able to be graphed, and how the slope of the points is easily visible. To learn more about semi-log graphing, I watched a video that had some very helpful information (the video will be below). In it, I learned an awesome poem about how semi-log graphs work. Here it is: The numbers with a "1" This poem means that you would move up the amount of the number that has a one in it. For example, if the number was 1, you would move up by 1 on every line, so the graph would go from 1 to 2 to 3 etc. Using this method, you could also graph really large numbers and decimals. Using decimals, the lines would increase by decimals, so they could increase by 0.1, 0.01, 0.001 etc. The semi-log graph is set up in a way where you could put all kinds of decimals on the graph, and have them be visible. Now, when looking at the graph, you can see that the spaces between the lines aren't even. What is actually happening though is a repetition of thicknesses. On the graph, the distance between 20 and 10 is the same as 2 and 1, as 200 and 100,and as 0 .0002 and 0.0001. These distances are all proportional and have a 100% increase in distance. However, the distance between 9 and 10, or 90 and 100, would be only an 11% increase. Using the semi-log graph, it is possible to graph all sorts of numbers, and the uses and your creativity are limitless.
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AuthorIsabel Benak Archives
September 2018
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