Answer
even.
Work Step by Step
Step 1. Replace $x$ with $-x$, we have $f(-x)=0.75(-x)^2+|-x|+4=0.75(x)^2+|x|+4= f(x)$, thus it is even.
Step 2. Replace $x$ with $-x$, we have $f(-x)=0.75(-x)^2+|-x|+4=0.75(x)^2+|x|+4\ne-f(x)$, thus it is not odd.