Use graphing technology to find the range of the function f(x)=sqrt (x-4) Answer Attemptiout of 2

## Step 1The function given is \(f(x) = \sqrt{x-4}\). This is a square root function, which is a type of radical function. The square root function is defined for all non-negative numbers. ## Step 2The square root function is defined for all such that . In this case, the function is defined for all such that , because the square root of a negative number is not a real number.## Step 3The square root function always produces non-negative outputs. This is because the square root of a number is the number that, when squared, gives the original number. For example, the square root of 4 is 2, because .## Step 4Therefore, the range of the function \(f(x) = \sqrt{x-4}\) is all non-negative real numbers, or \([0, \infty)\).