What is the range of the function f(x)√(x²+4)

Answer 1

The range of the function f(x) = √(x²+4) is [2, ∞).

To determine the range, note that for any real number x, the expression √(x²+4) will always be greater than or equal to 2. This is because the smallest possible value for x²+4 is 4 (when x=0), and the square root of 4 is 2.

Therefore, the range of the function is all real numbers greater than or equal to 2.