Question

Does this have any symmetry? (2x^2 -5x + 2)/(x^2 -4)
It asked if it had even, odd, or no symmetry. I said no.

Answer 1

replace x with -x

f(-x) = f(x) ... its even

f(-x) = -f(x) its odd

anything else is neither

Answer 2

even exponents give back positive x's
odd exponents give back negative exponents

2x^2 +5x +2
------------ not= f(x); not= -f(x) ... i say neither
x^2 -4

Answer 3

http://www.wolframalpha.com/input/?i=%282x^2+-5x+%2B+2%29%2F%28x^2+-4%29


the graph confirms it; it aint mirrored over the y or the origin ...