INTERPOLATION AND EXTRAPOLATION AlgebraINTERPOLATION AND EXTRAPOLATIONThis chapter covers the use of interpolation and extrapolation to solve forunknowns on various types of graphs.EO 1.17 Given a graph, SOLVE for the unknown usingextrapolation.EO 1.18 Given a graph, SOLVE for the unknown usinginterpolation.DefinitionsInterpolation Interpolation is the process of obtaining a value from a graph or table that islocated between major points given, or between data points plotted. A ratioprocess is usually used to obtain the value.Extrapolation Extrapolation is the process of obtaining a value from a chart or graph thatextends beyond the given data. The "trend" of the data is extended past the lastpoint given and an estimate made of the value.InterpolationandExtrapolationDeveloping a curve from a set of data provides the student with the opportunity to interpolatebetween given data points. Using the curve in the following example, the value of the dependentvariable 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 onthe plotted graph that lies between two given data points. Extrapolation is the process in whichinformation is gained from plotted data by extending the data curve beyond the points of givendata (using the basic shape of the curve as a guide), and then estimating the value of a givenpoint by using the extended (extrapolated) curve as the source. The above principles areillustrated in the example that follows.MA-02 Page 90 Rev. 0
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