Thanks for the help with my previous problems Roger & Leo. It was really helpful.

Now I want to know how to find the right and left end behavior models and horizontal tangents for the inverse functions, say y = tan inverse(x)

I have to do this for all functions, but at least let me know the method for tan inverse(x), then I will try to do the rest myself.
Thanks again.

If you've done the graph of tan x then you know that as x goes from (-pi/2, +pi/2) y=tan x goes from (-infty, +infty)
When you look at the arctan x then as x goes from (-infty, +infty) y goes from (-pi/2, +pi/2). Can you see the horizontl asymptotes from this?
Does this suggest how to do the other problems too?

4 answers

ANIGAV
what are the left and right end behavior models of arctan(x)?
(-4x^3-x^2+3)/(x^3-4)
Leo is late to practice again, so his soccer coach reprimands him and makes him run extra laps. When he gets home, Leo bullies his little sister until she cries.
Identify which defense mechanism this is and explain how it works.