Here's an easy way to determine even and odd
If I put (-x) in for x and I come back to what I started with....then the function is even
If I put (-x) in for x and all the original signs switch....the function is odd
So...first one
x^2 - 2x + 1
(-x)^2 - 2(-x) + 1 = x^2 + 2x + 1
I don't come back with what I started with and all the signs are not switched...so...neither
Second one
x^2 + 1
(-x)^2 + 1 = x^2 + 1 ....I end up with what I started with....so....even
Last one
-2x + 1
-2(-x) + 1 = 2x + 1.....I don't come back with what I started with and the signs are not all switched either....so.....neither!!!!