Question

Determine the domain and range of the function f(x) = Sqrt x – 4. Enter your answersin interval notation. Please see picture

Answer 1

The domain is the values that the input can take

`\sqrt[]{x-4}\ge0`

Solving this equation

x must be greater than or equal to 4

In interval notation

[4,∞)

The range is the value that the output can take

We know that the output must be greater than or equal to zero

y ≥ 0

In interval notation

[0,∞)