\documentclass[a4paper]{article}
\usepackage{tkz-tab}
\usepackage{xpatch}

% tkz-tab hardcodes $0$ for the zeros
\xpatchcmd{\tkzTabLine}{$0$}{$\bullet$}{}{}
% we want solid lines
\tikzset{t style/.style={style=solid}}

\begin{document}

\begin{tikzpicture}
\tkzTabInit[lgt=2,espcl=2,deltacl=0]
  { /.8, $f'(x)$ /.8, $f''(x)$ /.8, }
  {,$0$, } % four main references
\tkzTabLine {,-,t,-,} % seven denotations
\tkzTabLine {,-,z,+,}

\end{tikzpicture}

\end{document}