Robert+Sheaffer+10-21

Today in the top of the line science rooms at Manheim Township a discovery was made. With graphs fresh on the mind the leader and mind of the class Mr. Manning introduced a new topic of bounded areas also known as integrals. This idea introduces the idea of using the graph not only as a visual tool but also as something information can be drawn from if the right knowledge is applied. The lecture is as follows: __ Areas are bounded on a graph by __ 1)   Graphed lines    2)    The horizontal axis 3)   Intervals on the horizontal axis __ To calculate the following formulas are necessary: __   1)    Trapezoid=1/2(b1+b2)H 2)   Triangle=1/2(bh)    3)    Rectangle=lw Although it may seem as though you are simply finding the area of the given boundary Mr. Manning assured the class that the information drawn from the picture can be quite useful. For example on a VT graph the boundary shows the displacement of the object being graphed. However, not all the graphs and their boundaries will have special meaning. Mr. Manning explained this with a graph. EX) This shows a graph where the boundary means absolutely nothing. The graph however is not useless because other information may be drawn from it. Overall the boundaries of graphs can be used to draw information about the topic on the graph. If the graphs boundary does not have specific or special meaning then the graph itself must be showing it.