The function `f(x)` has a **domain** of
"all real numbers, `x > 2`" as defined in the question. (There are no resulting square roots of negative numbers or divisions by zero involved here.)

To find the **range**:

- When `x = 2`, `f(2) = 8`
- When
*x*increases from `2`, `f(x)` becomes larger than `8` (Try substituting in some numbers to see why.)

Hence, the **range** is "all real numbers, `f(x) > 8`"

Here is the graph of the function, with an **open circle** at `(2, 8)` indicating that the domain does not include `x = 2` and the range does not include `f(2) = 8`.

Domain: All `x>2`

Range:

All `f(x) > 8`

All `f(x) > 8`

The function is part of a parabola. [See more on parabola.]

Easy to understand math videos:

MathTutorDVD.com