Answer
Even
Work Step by Step
If $f(-x)=f(x)$ then the function is even.
If $f(-x)=-f(x)$ then the function is odd.
If $f(-x)\neq f(x)$ and $f(-x)\neq -f(x)$ then the function is neither odd nor even.
$$f(x)=0.75x^2+|x|+4$$ $$f(-x)=0.75(-x)^2+|-x|+4=0.75x^2+|x|+4=f(x)$$ Hence, it is even.
