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), ...,(x_n-1,y_n-1), (x_n,y_n),  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

Complete solution

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