How do you find the domain and range of sqrt(x-8)

Parker Bird

Parker Bird

Answered question


How do you find the domain and range of x 8 ?

Answer & Explanation



Beginner2022-07-21Added 20 answers

The square root is real only when the radicand is positive, or at least equal to zero. So the domain is going to be whenever
x 8 0
x 8
Using interval notation, we say the domain of x is [ 8 , )
The range is all the the y values that result from this domain. So the range starts at x=8
y = 8 8 = 0 = 0
and goes up to infinity. Using interval notation the range of y is [ 0 , )
You can also see this by inspection in the graph
graph{ x 8 [ 1 , 17 , 2 , 5 ]}

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