\begin{exercice}
 Établir le tableau de signes de chacune des fonctions suivantes :
 \begin{enumerate}
  \item $f : x \mapsto (-x+3)(2x+5)$
  \vspace{0.5em}
  \item $g : x \mapsto -2x^3+3x^2+5x$
  \vspace{0.5em}
  \item $h : x \mapsto \dfrac{-x+3}{2x+5}$
  \vspace{0.5em}
  \item $i : x \mapsto \dfrac{x+2}{-2x^2+3x+5}$
 \end{enumerate}
  
 \begin{corrige}
 ~\\
  \begin{enumerate}
   \item
    \begin{tikzpicture}[baseline = -1.5ex,general,yscale=0.70]
     \tkzTabInit[lgt=1, espcl=0.75, color, colorC=H4, colorV=H4, colorL=H4, colorT=A4, lw=0.3mm]
     {$x$ / 1, $f(x)$ / 1}
     {$-\infty$, $-\frac{5}{2}$, $3$, $+\infty$}
     \tkzTabLine{ , -, z, +, z, -, }
    \end{tikzpicture}
    
   \item
    \begin{tikzpicture}[baseline = -1.5ex,general,yscale=0.70]
     \tkzTabInit[lgt=1, espcl=0.6, color, colorC=H4, colorV=H4, colorL=H4, colorT=A4, lw=0.3mm]
     {$x$ / 1, $g(x)$ / 1}
     {$-\infty$, $-2$, $0$, $\frac{5}{2}$, $+\infty$}
     \tkzTabLine{ , +, z, -, z, +, z, -, }
    \end{tikzpicture}
    
   \item
    \begin{tikzpicture}[baseline = -1.5ex,general,yscale=0.70]
     \tkzTabInit[lgt=1, espcl=0.75, color, colorC=H4, colorV=H4, colorL=H4, colorT=A4, lw=0.3mm]
     {$x$ / 1, $h(x)$ / 1}
     {$-\infty$, $-\frac{5}{2}$, $3$, $+\infty$}
     \tkzTabLine{ , -, d, +, z, -, }
    \end{tikzpicture}
    
   \item
     \begin{tikzpicture}[baseline = -1.5ex,general,yscale=0.70]
     \tkzTabInit[lgt=1, espcl=0.6, color, colorC=H4, colorV=H4, colorL=H4, colorT=A4, lw=0.3mm]
     {$x$ / 1, $i(x)$ / 1}
     {$-\infty$, $-2$, $-1$, $\frac{5}{2}$, $+\infty$}
     \tkzTabLine{ , +, z, -, d, +, d, -, }
    \end{tikzpicture}
  \end{enumerate}
 \end{corrige}
\end{exercice}
