Algebra
INTERPOLATION AND EXTRAPOLATION
Example:
Given equation y = x2 + 2x + 3:
Plot the curve for x from 0 to 5.
Extrapolate the curve and give the value of y at x = 6.
Put 6 into the equation evaluating y, then compare the values.
Interpolate the curve at x = 4.5.
Put 4.5 into the equation evaluating y, then compare the values.
Extrapolating x = 6 gives a value of y = 48.
Using the equation, the actual value of y is 51.
Interpolating x = 4.5 gives a value of y = 32.
Using the equation, the actual value of y is 32.25.
Rev. 0
Page 91
MA-02
