\documentclass{article}
\usepackage[a4paper,margin=1in,footskip=0.25in]{geometry}
\usepackage{pgfplots}
\pgfplotsset{compat=1.15}
%\usetikzlibrary{intersections,fillbetween}
\begin{document}
\begin{center}
\begin{tikzpicture}
\begin{axis} [
axis on top,
axis lines=center,
xlabel=$x$,
ylabel=$y$,
zlabel=$z$,
xmin=-5,
ymin=-5,
zmin=-1,
xmax=5,
ymax=5,
zmax=17,
xtick={-4,-3,0,3,4},
xticklabels={$-4$,$-3$,$0$,$3$,$4$},
ytick={-4,-3,0,3,4},
yticklabels={$-4$,$-3$,$0$,$3$,$4$},
ztick={0,16},
zticklabels={$0$,$16$},