Answer:
Odd function
Step-by-step explanation:
The given function is [tex]f(x)=x^5+2x[/tex]
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)
[tex]f(-x)=(-x)^5+2(-x)\\=-x^5-2x\\=-(x^5+2x)\\=-f(-x)[/tex]
Since, f(-x)=-f(x). Hence, the function is odd.
