SOLUTION: Hi, I'm having trouble solving and figuring what to do for this problem: Tell if the function f(x)= -x^4 + 2x^2 + 6 is even,odd, or neither. Thank you.

Algebra ->  Equations -> SOLUTION: Hi, I'm having trouble solving and figuring what to do for this problem: Tell if the function f(x)= -x^4 + 2x^2 + 6 is even,odd, or neither. Thank you.      Log On


   

Question 1027344: Hi, I'm having trouble solving and figuring what to do for this problem:
Tell if the function f(x)= -x^4 + 2x^2 + 6 is even,odd, or neither.
Thank you.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
f%28-x%29+=+-%28-x%29%5E4+%2B+2%28-x%29%5E2+%2B+6++=+-x%5E4+%2B+2x%5E2+%2B+6++=+f%28x%29.
Thus f(x) is an even function by definition.