Question

decide whether the function is even, odd, or

neither.

f(x) = x^4+ 3

Answer 1

Taking into account that the domain $\R$ of the function $f(x) = x^4+ 3$ is symmetric about the $y$-axis and $f(-x) = (-x)^4+ 3 = x^4+ 3=f(x),$ we conclude that this function is even.