SOLUTION: How do you determine the domain and range of the following equation y=|x-2|

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Question 39602: How do you determine the domain and range of the following equation
y=|x-2|
Found 2 solutions by Nate, venugopalramana:
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
There are no limitations to the x-values, so the domain is all real numbers.
There are limitations to the y-values, so the range is y%3E=0.

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
How do you determine the domain and range of the following equation
y=|x-2|
DOMAIN IS THE VALUES X CAN TAKE TO MAKE THE GIVEN EXPRESSION FOR Y,A LEGALLY THAT IS MATHEMATCALLY PERMISSIBLE.CERTAIN OPERATIONS LIKE DIVISION BY ZERO,SQUARE ROOT OF A NEGATIVE NUMBER ETC.. ARE NOT PERMISSIBLE.HERE THERE ARE NO SUCH RESTRICTIONS.
HENCE DOMAIN IS ALL REAL NUMBERS .
RANGE IS THE CORRESPONDING VALUES Y WILL TAKE.HERE WE FIND THAT Y IS MOD OR ABSOLUTE VALUE OF X-2..HENCE WHETHER X IS 100 OR -100,WE ALWAYS GET Y AS POSITIVE OR ZERO.
SO RANGE OF Y IS ALL NON NEGATIVE REAL NUMBERS