197k views
0 votes
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-example-1
User Roselle
by
8.4k points

1 Answer

3 votes

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.

User Zvi
by
8.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories