SOLUTION: Find the domain and range of the function y=square root of (x-2) -4. The correct answer is one of the following. Which one is it? A) Domain (-infinite, infinite); Range (

Algebra ->  Functions -> SOLUTION: Find the domain and range of the function y=square root of (x-2) -4. The correct answer is one of the following. Which one is it? A) Domain (-infinite, infinite); Range (      Log On


   

Question 1198833: Find the domain and range of the function y=square root of (x-2) -4.
The correct answer is one of the following. Which one is it?

A) Domain (-infinite, infinite); Range (-infinite, infinite)
B) Domain (-infinite, 2]; Range [4,infinite)
C) Domain [-2,infinite); Range [4,infinite)
D) Domain [2,infinite); Range [-4,infinite)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

y=sqrt%28x-2%29+-4
Domain:
sqrt%28x-2%29+ cannot take negative values for x
x-2=0->.x=2
so, x%3E=2 }
and domain is:
{ x+element R : x%3E=2 }
interval notation:
[2,infinity)
Range:
The range of an radical function of the form f%28x%29=sqrt%28ax%2Bb%29%2Bk is f%28x%29%3E=k
in your case k=-4
so range is
{ y element R : y%3E=-4 }
interval notation:
[-4,infinity)

answer:
D) Domain [2,infinity); Range [-4,infinity)