Question

Consider the following relation.

x=2|y|−1

Find four points contained in the inverse. Express your values as an integer or simplified fraction.

{( , ), ( , ), ( , ), ( , )}''.

Answer 1

2|y|=x+1
flip x and y
2|x|=y+1
y=2|x|-1
x=-1,y=2|-1|-1=2-1=1
(-1,1)
x=1,y=2|1|-1=2-1=1
(1,1)
x=-2,y=2|-2|-1=2(2)-1=4-1=3
(-2,3)
x=2,y=2|2|-1=4-1=3
(2,3)
points are (-1,1),(1,1),(-2,3),(2,3)