For which of the following types of interpolation is it poss

For which of the following types of interpolation is it possible, in general, to preserve monotonicity (increasing or decreasing) in a set of n data points?

Solution

For proper interpolation, in order to pass through all n points, (n-1) degree polynomial is sufficient in order to montonically depict the curve and satisfy all the coordinates of the n data set points

Hence the correct answer is Option A