Which answer describes the function f(x)=x^5+2x ? odd even neither

Question

asked Apr 16, 2019 80.2k views

2 Answers

Phortuin · Answer 1 · 2019-04-20T20:29:43+0000

Answer:

Odd function

Explanation:

The given function is
f(x)=x^5+2x

We know that:

The function is odd if f(-x)=-f(x)
If the function doesn't satisfy these two properties then it is neither odd nor even.

Hence, we substitute x = -x to find f(-x)

$f(-x)=(-x)^5+2(-x)\\=-x^5-2x\\=-(x^5+2x)\\=-f(-x)$

Since, f(-x)=-f(x). Hence, the function is odd.