Correct answer only !

what are the domain and range of the function?

f(x) = √x + 6

Step-by-step explanation:

is defined only for non-negative values. So is the case when you add to 6. The function is defined for all non-negative values of . That is: . 0 is allowed, hence the square bracket on the left end. Hence the domain of this function.

gives values ranging from 0 to infinity. When you add 6 to , you should expect values no less than 6. That is: . 6 is included. Hence the range of this function.

(C) Domain [0, ∞)

                     Range [6, ∞)

Step-by-step 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

step-by-step explanation:

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