124k views
15 votes
Is the function even,odd, or neither

Is the function even,odd, or neither-example-1
User Chlebta
by
4.1k points

2 Answers

6 votes

Answer:

even I think

Explanation:

User Olivier Cruchant
by
4.0k points
10 votes

Answer:

Neither

Explanation:

If f (–x) = f (x), then the function is even. if f (–x) = –f (x), (all the signs are flipped) the it is odd.

To apply this to the function here, simply replace the x in
(x-2)^(2) with -x.


(x-2)^(2) =
x^(2) - 4x + 4, and
(-x - 2)^(2) =
x^(2) +4x + 4.

Since
x^(2)+4x + 4 doesnt equal
x^(2) - 4x + 4 (even) or
-x^(2)+4x -4 (odd), the function is neither even nor odd.

User James Berkenbile
by
4.4k points