Distinguish between linear interpolation and linear extrapolation as used in

mathematics. (4 marks)DICT MOD 1 July 2020

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Linear interpolation is a method of estimating the value of a function at a point within the range of known data points. It is based on the assumption that the function is a straight line within the range of known data points. To interpolate a value, we use the known data points to fit a straight line to the data and then use this line to estimate the value at the desired point.

Linear extrapolation, on the other hand, is a method of estimating the value of a function at a point outside the range of known data points. It is based on the assumption that the function is a straight line beyond the range of known data points. To extrapolate a value, we use the known data points to fit a straight line to the data and then use this line to estimate the value at the desired point outside the range of known data points.