Question

What is the domain and range of the function f(x) = square root of (x^2 + 44)?

Answer 1

sqrt needs to be non-negative.

Answer 2

http://www.wolframalpha.com/input/?i=f%28x%29+%3D+square+root+of+%28x^2+%2B+44%29

domain: all reals
range: from wherever it falls on the y-axis to infinity

Answer 3

Since x^2 is always positive, x^2 + 44 is always positive for all x and so therefore is the square root.

The function is minimum when x=0 -> f(0) = sqrt(44)

Answer 4

domain is (2 root 11,0)
range is (0,2 root 11)