2007-02-08 15:41:23 · 4 answers · asked by Jackie G 1 in Science & Mathematics ➔ Mathematics
find g(-x), simplify, and then see if what you get is equal to g(x), -g(x), or something else entirely, respectively.
On a side note, the reason why even functions are called even is because the behavior that f(x)=f(-x) is the behavior you would get from a polynomial whose only terms were of even powers (e.g. ax⁰+bx²+cx⁴...)
2007-02-08 15:46:16 · answer #1 · answered by Pascal 7 · 2⤊ 0⤋
An even function means that all of the exponents of x are even or zero. (I don't want to start something about whether 0 is even or not). An odd function means that all of the exponents of x are odd. Neither means that some of the exponents are even, and some are odd.
The exponents of that equation are 2 and 0, so the function is even.
2007-02-08 23:47:17 · answer #2 · answered by Milton's Fan 3 · 0⤊ 0⤋
All terms are to an even power of x (-5=-5x^0) so it is even.
were all the exponents odd, it would be an odd function. If there are both even & odd exponents, it is neither.
2007-02-08 23:44:20 · answer #3 · answered by yupchagee 7 · 1⤊ 1⤋
It is even since all the powers are even.
2007-02-08 23:44:57 · answer #4 · answered by bruinfan 7 · 2⤊ 0⤋