Question

I need help with this entire worksheet, this is the last chance I can take this again, if I don’t pass this I’ll get another F.

Answer 1

Neither

Step-by-step explanation

`f(x)=x^5+2x^4+3x-14`

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)

`\begin{gathered} f(-x)=(-x)^5+2(-x)^4+3(-x)-14 \\ f(-x)=-x^5+2x^4-3x-14 \end{gathered}`

we conclude that

`f(x)\\e f(-x)`

so, the function is not even

Step 2

Determine whether the function satisfies

`f(x)=-f(-x)`

If it does, it is odd function

replace

`\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{ }\\e\text{ +}x^5-2x^4+3x+14 \end{gathered}`

therefore,

`f(x)\\e-f(-x)`

so, this is not an odd function

so, the answer is

Neither

I hope this helps you