Question

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

Answer 1

Answer:

A. Odd

Step-by-step explanation:

Answer 2

Answer:

Odd function

Step-by-step explanation:

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

We know that:

• The function is even if f(-x) = f(x)

• 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.