Answer:
The function is neither even nor odd.
Step-by-step explanation:
the function is even if f(-x) = f(x)
The function is odd if f(-x) = -f(x)
We are given the function:
f(x) = 3(x-1)^4
Solving
f(x) = 3(x^4 -4x^3+6x^2-4x+1)
f(x) = 3x^4-12x^3+18x^2-12x+3
Now putting -x instead of x i,e f(-x)
f(-x) = 3(-x)^4-12(-x)^3+18(-x)^2-12(-x)+3
Solving
f(-x) =3x^4+12x^3+18x^2+12x+3
so, f(-x) ≠ f(x) The function is not even
and f(-x) ≠ -f(x) The function is not odd
Hence the function is neither even nor odd.
