Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

What are the domain and range of the function?

f(x) = √x + 6

Answer 1

• Domain:
  `[0, \infty)`.
• Range:
  `[6, \infty)`.

Explanation:

`√(x)` is defined only for non-negative values. So is the case when you add
`√(x)` to 6. The function
`f(x)` is defined for all non-negative values of
`x`. That is:
`x \in [0, \infty)`. 0 is allowed, hence the square bracket on the left end. Hence the domain of this function.

`√(x)` gives values ranging from 0 to infinity. When you add 6 to
`√(x)`, you should expect values no less than 6. That is:
`[6, \infty)`. 6 is included. Hence the range of this function.

Answer 2

Answer: (C) Domain [0, ∞)

Range [6, ∞)

Explanation:

Domain is the x-values. There is a restriction on x in the given problem because the term inside the square root must be greater than or equal to zero. So, x ≥ 0

Range is the y-values. These values are determined by the domain.

Since x ≥ 0,

then y ≥ 0 + 6

⇒ y ≥ 6