SOLUTION: Please help me solve the following problem: What kind of function is {{{f(x) = 1+x+x^2}}} even, odd, neither even nor odd, both even and odd are my choices Thank You

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Please help me solve the following problem: What kind of function is {{{f(x) = 1+x+x^2}}} even, odd, neither even nor odd, both even and odd are my choices Thank You      Log On


   

Question 149326: Please help me solve the following problem:
What kind of function is f%28x%29+=+1%2Bx%2Bx%5E2
even, odd, neither even nor odd, both even and odd are my choices
Thank You
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What kind of function is f%28x%29+=+1%2Bx%2Bx%5E2
even, odd, neither even nor odd, both even and odd are my choices
-------------------------------
f(x) = 1 + x + x^2
f(-x) = 1 -x + x^2
-f(-x) = -1 + x -x^2
------------------------
Since f(x) is not equal to f(-x), f is not even
Since f(x) is not equal to -f(-x), f is not odd
----------------
f is neither.
Cheers,
Stan H.