#1**+1 **

The first is a little difficult, but we might be able to eliminate some answers

The point ( 1 , -1) is on the graph

Note that if we substitute 1 into the polynomial, we can add the coefficients and constant of each polynomial and should come up with -1

So...look at the first answer...we add 2 - 3 - 2 + 1 = -2 so this is not the answer

Look at the third answer....we add 1 - 2 + 3 + 2 - 1 = -3 so this is not the answer

Now...look at the second answer...if we put 4 into the function, we get

(4)^4 -2(4)^3 - 3(4)^2 +2(4) + 1 = 256 - 128 - 48 + 8 + 1 = 89

But we should get 329

So......the fourth answer is correct

CPhill Nov 29, 2017

#2**+1 **

Here's my best guess for the second one....assuming that x is the number of years after 1900, the correct function is third one......see the outputs here for this function [rounded to the nearest integer ]

https://www.wolframalpha.com/input/?i=.139x+%2B+6.57++for+x++%3D+37,+68,95

CPhill Nov 29, 2017