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MULTIPLE CHOICE TEST

(All Tests)

BACKGROUND

(More on Interpolation)

INTERPOLATION

(More on Interpolation)

Pick the most appropriate answer.

The number of polynomials that can go through two fixed data points  and  is

0
1
2
infinite


 

A unique polynomial of degree __________________ passes through n+1 data points.

n+1
n+1 or less
n
n or less


 

The following function(s) can be used for interpolation

polynomial
exponential
trigonometric
all of the above


 

Polynomials are most commonly used functions for interpolation because they are easy to

evaluate
differentiate

integrate
evaluate, differentiate and integrate


 

Given n+1 data points , 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 given x-data, the procedure is called

extrapolation
interpolation
guessing

regression


 

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


 

Multiple choice questions on other topics

Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu  This material is based upon work supported by the National Science Foundation under Grant# 0126793, 0341468 and 0717624.  Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.  Other sponsors include Maple, MathCAD, USF, FAMU and MSOE.