I promise, this is the last question for a while.
I need 4 points for the inverse of this relation:
y = 2|x|-1
I dunno how to make absolute values using the MATH button.
But yeah, I did think about substituting 2, 1, -1, -2 in for X, but is that the same as inverse?
I think you really mean inverse relation
y=2x-1 if x>0
x=(y+1)/2 y>-1 or
y=(x+1)/2 x>-1(only interchanged x and y because generally x is taken to represent independent variable)
so we obtained the inverse relation (or inverse function if we particularly talk about y=2x-1 if x>0 as overall y=2|x|-1 do not have an inverse function) similarly same procedure can be followed for y=-2x-1 if x<0. (every function is a relation but every relation is not a function and every function may not have an inverse function)
so here is the easy Method
you said you need 4 points of inverse relation. So put any arbitrary value of x in the equation then interchange the range and domain for example let x=2 then y=2|x|-1
=2|2|-1=3 so the obtained point for relation is (2,3) now interchanging range and domain, point for inverse relation will be (3,2). Remember (3,-2) will also be an element of inverse relation
(3,2) and (3,-2) are not valid points points for a function.