A function is even if
[tex]f(-x)=f(x)[/tex]
A function is odd if
[tex]f(-x)=-f(x)[/tex]
for all values in X that belongs to R.
We are going to analyze all the functions first to see if they are even or not to answer the question:
[tex]f(x)=sin(x^4-x^2)\to\text{par}[/tex][tex]h(x)=(\lvert x\rvert-3)^3\to\text{pair}[/tex][tex]g(x)=\ln (\lvert x\rvert)+3\to\text{pair}[/tex][tex]s(x)=\sin ^3(x)\to\text{odd}[/tex]
Taking this into account, f(x), g(x) and h(x) are even and s(x) is odd. So the correct answer is C.
