> As you can see above, I am pointing out that the manual refers to old > behaviour of LyX which must have since changed, according to my > observations.
What are you talking about? Open the View-> source Window in lyx and set the cursor into the formula of the section 5.7.2 and you will see that its LaTeX-code is:
\[ f(x)=\begin{array}{cc} x & \textrm{if I say so}\\ -x & \textrm{otherwise}\end{array}\] regards Uwe