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

## Step 1<br />The 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. <br /><br />## Step 2<br />The square root function is defined for all \(x\) such that \(x \geq 0\). In this case, the function is defined for all \(x\) such that \(x \geq 4\), because the square root of a negative number is not a real number.<br /><br />## Step 3<br />The 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 \(2^2 = 4\).<br /><br />## Step 4<br />Therefore, the range of the function \(f(x) = \sqrt{x-4}\) is all non-negative real numbers, or \([0, \infty)\).