I'm sorry I don't understand the formula you're using there.
The exact task is to approximate the local max and local min (I didn't mean the - or + infinite parts) and to approximate the coords of intersection points.
Like at this point in time I'm not "supposed" to know how to find the exact coords, as it's part a math class.
Only tools I have is finding roots the basic way if a>1 or Gauss (wich doesn't work because the constant here is 1).
So as of now I have this:
(0,1)
approx: (-2.25,0)
Local (or relative) minimum: approx (0.4, 0.55)
Local (or relative) maximum: approx (-1.5 , 1.375)