SOLUTION: Determine whether is even, odd, or neither. f(x) = x^2 − x + 2

Algebra ->  Trigonometry-basics -> SOLUTION: Determine whether is even, odd, or neither. f(x) = x^2 − x + 2      Log On


   

Question 334838: Determine whether is even, odd, or neither.
f(x) = x^2 − x + 2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+x%5E2+-x+%2B+2
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f%28-x%29+=+%28-x%29%5E2+-%28-x%29+%2B+2
f%28-x%29+=+x%5E2+%2Bx+%2B+2
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If the function is even, then f%28x%29=f%28-x%29 or f%28x%29-f%28-x%29=0
If the function is odd, then f%28x%29=-f%28-x%29 of f%28x%29%2Bf%28-x%29=0
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In this case,
f%28x%29-f%28-x%29=-2x
f%28x%29%2Bf%28-x%29=2x%5E2%2B4
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Neither.