Neither
Explanation
[tex]f(x)=x^5+2x^4+3x-14[/tex]
Even:To do this, you take the function and plug –x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (–x) = f (x), so all of the signs are the same), then the function is even.
Step 1
a)evaluate for -x
so
f(-x)
[tex]\begin{gathered} f(-x)=(-x)^5+2(-x)^4+3(-x)-14 \\ f(-x)=-x^5+2x^4-3x-14 \end{gathered}[/tex]
we conclude that
[tex]f(x)\ne f(-x)[/tex]
so, the function is not even
Step 2
Determine whether the function satisfies
[tex]f(x)=-f(-x)[/tex]
If it does, it is odd function
replace
[tex]\begin{gathered} x^5+2x^4+3x-14\text{ =? = -(}-x^5+2x^4-3x-14) \\ x^5+2x^4+3x-14\text{ =? = +}x^5-2x^4+3x+14 \\ x^5+2x^4+3x-14\text{ }\ne\text{ +}x^5-2x^4+3x+14 \end{gathered}[/tex]
therefore,
[tex]f(x)\ne-f(-x)[/tex]
so, this is not an odd function
so, the answer is
Neither
I hope this helps you
