SOLUTION: Graph each function and state its' domain and range for each problem. 1. y= |x-1|+2 2. x= -√y please help especially with a good explination on each step, im rea

Algebra ->  Graphs -> SOLUTION: Graph each function and state its' domain and range for each problem. 1. y= |x-1|+2 2. x= -√y please help especially with a good explination on each step, im rea      Log On


   

Question 925697: Graph each function and state its' domain and range for each problem.
1. y= |x-1|+2

2. x= -√y

please help especially with a good explination on each step, im really confused!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1. Domain is any x value, there are no restrictions.
Domain : (-infinity,infinity)
The output of the absolute value function is always non-negative.
It has a minimum value of zero when x=1 so the function minimum is 2.
Range : [2,infinity)
.
.
.
2. The square root function always gives a non-negative answer, so the value for x will always be negative or zero.
Domain: (-infinity,0]
The value for y can be any positive number or zero.
Range : [0,infinity)