!set gl_type=dynamic
!set gl_author=Euler, Acadmie de Versailles
!set gl_title=Signe d'une fonction polynme du second degr (illustration)
!set gl_renew=0
<style>
.les3cas {
    display: flex;
    flex-direction:row;
    flex-wrap:wrap;
}
.itemtab{
margin-right:1em;
margin-top:1em;
}
</style>

!set gl_text1=\begin{matrix}\textrm{signe de}\\a x^2+b x +c\end{matrix}
!set gl_text2=\begin{matrix}\textrm{signe de}\\a \end{matrix}
!set gl_text3=\begin{matrix}\textrm{oppos du}\\ \textrm{signe de}\:a\end{matrix}

<div class="les3cas" >
 <div class="itemtab unbreakable">
Si \(\increment \lt 0\)
!readproc slib/function/tabsignes [x,-Inf,,+Inf;$gl_text1,,$gl_text2,]
$slib_out
 </div>
 <div class="itemtab unbreakable">
  Si \(\increment = 0\)
!readproc slib/function/tabsignes [x,-Inf,,x_0,,+Inf;$gl_text1,,$gl_text2,0,$gl_text2]
$slib_out
 </div>
 <div class="itemtab unbreakable">
  Si \(\increment \gt 0\)
!readproc slib/function/tabsignes [x,-Inf,,x_1,,x_2,,+Inf;$gl_text1,,$gl_text2,0,$gl_text3,0,$gl_text2,]
$slib_out
 </div>
</div>
