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HomeworkUse the equation to classify the polynomialfunction. Is it even, odd, or neither? SEE EXAMPLE 215. f(x) = 2x5 + 4x2 16. g(x) = 6x4 + 2x2+

HomeworkUse the equation to classify the polynomialfunction Is it even odd or neither SEE EXAMPLE 215 fx 2x5 4x2 16 gx 6x4 2x2 class=

Respuesta :

Given function,

[tex]f(x)=2x^5+4x^2[/tex]

Thus,

[tex]15.f(-x)=2(-x)^5+4(-x)^2=-2x^{5^{}}+4x^2[/tex]

Since,

[tex]f(-x)\ne f(x),\text{ }f(-x)\ne-f(x)[/tex]

Thus the function is neither odd nor even.

Again,

[tex]16.g(x)=6x^4+2x^2[/tex]

Thus,

[tex]g(-x)=6(-x)^4+2(-x)^2=6x^4+2x^2[/tex]

So,

[tex]g(-x)=g(x)[/tex]

Thus the function is even.