Question

Which of the following describes h(x)=x^5-2x^3+x?

Answer choice is
A. h is an odd function
B. h is neither odd nor even
C. h is an even function

Answer 1

Answer: A

Explanation:

A sum of odd functions is a odd function

Proof:

`h(x)=x^5-2x^3+x\\\\h(-x)= (-x)^5-2(-x)^3+(-x) \\\\=- x^5-2(-x^3)-(-x)\\\\=-(x^5-2x^3+x)\\\\=-h(x)\\\\So\ h(-x)=-h(x):\ the \ function\ h(x) \ is\ odd.\\`

Answer 2

h is an odd funtion

Explanation:

this is because h(-x)=h(x)