Question

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+

Answer 1

Given function,

`f(x)=2x^5+4x^2`

Thus,

`15.f(-x)=2(-x)^5+4(-x)^2=-2x^{5^{}}+4x^2`

Since,

`f(-x)\\e f(x),\text{ }f(-x)\\e-f(x)`

Thus the function is neither odd nor even.

Again,

`16.g(x)=6x^4+2x^2`

Thus,

`g(-x)=6(-x)^4+2(-x)^2=6x^4+2x^2`

So,

`g(-x)=g(x)`

Thus the function is even.