Determine whether the function f(x) = 3x4 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).

The function is even because f(x) = f(−x).

Step-by-step explanation:

we know that

An even function is one for which  

f (−x)=f(x) for all x in its domain.

An odd function is one for which  

f( −x) =−f(x) for all x in its domain

In this problem we have

so

therefore

f (x)=f(-x) for all x in its domain.

Is a even function