Holistic Numerical Methods Institute

committed to bringing numerical methods to undergraduates

Multiple Choice Test

Background on Interpolation

 

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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