Graph the function y = √ x + 4 – 2. Then state the domain and range of the function.
Mathematics · College · Tue Nov 03 2020
Answered on
For finding the range and domain of the given functions we know that the value of x represents the domain and the value of y represents a range of the function.
The given function is y =√(x+4)-2
So The domain of the given function will be the value of x various
√(x + 4) =0
(x + 4) ≥0
So we know that the square root of numbers, less than 0 is not possible so adding the -4 on both sides and simply
x ≥ (-4) this is the domain value where x can be greater than equal to the-(-4)
Or [-4, ∞) will be the domain
Now for finding a range of the function we put (x+4=0)
√(x+4 )≥0, by adding both sides -2
√(x+4 )-2 ≥-2, y ≥ -2,so the range of the given function is [ -2, ∞).