Question

Determine whether the function f(x) = 3(x − 1)4 is even or odd. The function is even because f(x) = f(−x). The function is odd because f(x) = f(−x). The function is even because f(x) = −f(x). The function is odd because f(x) = −f(x).

Answer 1

Explanation:

given that

`f(x)=3(x-1)^4`

In order to determine whether a function is odd or even we are required to substitute x with -x and simplify

if f(-x) =f(x) it is an even function

if f(-x)=-f(x) it is an odd function

Hence

Let us put x=-x in our f(x)

`f(-x)=3(-x-1)^4\\=3(-1(x+4))^4\\=3(x+1)^4`

which is an entirely a new function has no relation with the f(x) Hence it is neither an even function or an odd function.

I think some part of the question is missing here. Please recheck it once.