Need to include restrictions on the domain

Question

my teacher told me to include the restrictions,

this is what i got

y = 1 + x² / 1 - x²

DOMAIN: (-∞, -1) u (-1,1) u (1, ∞),{x|x ≠ 1, -1}

intervals | 4x | (1-x²)² | 4x/(1-x²)² | inc. or dec.

x < 0 - + - decreasing

x > 0 + + + increasing

how should i add the restrictions into my table?

Answer 1

Your table for where the function is increasing or decreasing is not sufficient. The graph of this function could help clear this up for you, but basically it looks like a parabola going up in the center, so you will break up the table into x values of the function's domain.

(-∞, -1) (-1,0) (0, 1 ) (1, ∞)

decreasing decreasing increasing increasing