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INTERPOLATION AND EXTRAPOLATION Algebra INTERPOLATION AND EXTRAPOLATION This  chapter  covers  the  use  of  interpolation  and  extrapolation  to  solve  for unknowns on various types of graphs. EO 1.17 Given   a   graph,   SOLVE   for   the   unknown   using extrapolation. EO 1.18 Given   a   graph,   SOLVE   for   the   unknown   using interpolation. Definitions Interpolation    Interpolation  is  the  process  of  obtaining  a  value  from  a  graph  or  table  that  is located  between  major  points  given,  or  between  data  points  plotted.    A  ratio process is usually used to obtain the value. Extrapolation  Extrapolation  is  the  process  of  obtaining  a  value  from  a  chart  or  graph  that extends beyond the given data.   The "trend" of the data is extended past the last point given and an estimate made of the value. Interpolation and Extrapolation Developing a curve from a set of data provides the student with the opportunity to interpolate between given data points.  Using the curve in the following example, the value of the dependent variable at 4.5 can be estimated by interpolating on the curve between the two data points given, resulting in the value of 32.   Note that the interpolation is the process of obtaining a value on the plotted graph that lies between two given data points.   Extrapolation is the process in which information is gained from plotted data by extending the data curve beyond the points of given data (using  the basic  shape of  the curve  as a guide),  and then estimating  the value  of a  given point  by  using  the  extended  (extrapolated)  curve  as  the  source.    The  above  principles  are illustrated in the example that follows. MA-02 Page 90 Rev. 0


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