Hello,
I have answered this question multiple times. I have no idea why you calculator refuses to allow you to choose more graph styles. Maybe you should reset it by clearing the RAM.
Concerning the connected asymptotes.
In truth your function has
one aymptote namely the straight line
x=2 but your graph has two asymptotic branches, one tends towards -infinity, the other toward + infinity. That they seem connected is an illusion due to the finite resolution of the screen. This is made worse if you select a connected graph instead of a dotted one. I am enclosing a screen capture of the graph for the same function, drawn on a calculator with better resolution.
This clarification being given, it remains that you still have a problem since you cannot choose other styles. Do try to reset the RAM, and choose dotted graphs. If that does not work, maybe you should update the OS or reinstall it from education.ti.com.
I hope it solves your problem. If it does not, do not blame me, and remember that I tried my best.
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