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andrey2020 [161]
3 years ago
8

Determine algebraically whether the function g(x)=x^2 is even odd or neither

Mathematics
2 answers:
irina1246 [14]3 years ago
8 0

g(x) = x^2

g(-x) = (-x)^2 ... replace every x with -x

g(-x) = x^2 ... squaring a negative makes it positive

So because g(x) = g(-x) for every x, this means g(x) is an even function. For polynomials, if every exponent is even, then the entire polynomial is even as well.

Note: if a function is even, then it won't be odd or vice versa unless the function is the zero function. In other words, g(x) = 0 is both even and odd.

julsineya [31]3 years ago
5 0

I think its 2 because its 2 so you will put 2

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