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 MULTIPLE CHOICE TEST BACKGROUND INTERPOLATION

Pick the most appropriate answer.

 Q1. The number of different polynomials that can go through two fixed data points (x1,y1) and (x2,y2) is 0 1 2 infinite   Q2. Given n+1 data pairs, a unique polynomial of degree __________________ passes through the n+1 data points. n+1 n+1 or less n n or less   Q3. The following function(s) can be used for interpolation polynomial exponential trigonometric all of the above   Q4. Polynomials are the most commonly used functions for interpolation because they are easy to evaluate differentiate integrate evaluate, differentiate and integrate   Q5. Given n+1 data points (x0,y0), (x1,y1), ...,(xn-1,yn-1), (xn,yn),  and assume you pass a function f(x) through all the data points.  If now the value of the function f(x) is required to be found outside the range of the given x-data, the procedure is called extrapolation interpolation guessing regression   Q6. Given three data points (1,6), (3,28), (10, 231), it is found that the function y=2x2+3x+1 passes through all the three data points.  Your estimate of y at x=2 is 6 15 17 28
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