# Quiz Chapter 05.01: Background of Interpolation

 MULTIPLE CHOICE TEST BACKGROUND INTERPOLATION

1. The number of different polynomials that can go through two fixed data points $x_{1},y_{1}$ and $x_{2},y_{2}$ is

2. Given $n+1$ data pairs, a unique polynomial of degree _____ passes through the $n+1$ data points.

3. The following function(s) can be used for interpolation

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

5. Given $n+1$ data points $\left( x_{0},y_{0} \right), \, \left( x_{1},y_{1} \right), \, ... \, , \left( x_{n-1}, y_{n-1} \right), \, \left( x_{n}, y_{n} \right)$, and assume you pass a function $f \left( x \right)$ 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

6. Given three data points $\left( 1,6 \right), \, \left( 3, 28 \right), \, \left( 10,231 \right)$, it is found that the function $y = 2x^{2} + 3x + 1$ passes through all the three data points. Your estimate of $y$ at $x = 2$ is