Which of the following the range of function includes - 4? A. y=sqrt (x) - 5 B. y=sqrt (x) + 5 C. y=sqrt (x+5) D. y=sqrt (x-5)

For option A: y = sqrt (x) - 5. Range is f (x) ≥ - 5

For option B: y = sqrt (x) + 5. Range is f (x)

For option C: y = sqrt (x + 5). Range is f (x) ≥ 0

For option D: y = sqrt (x - 5). Range is f (x)

All of the equations contain - 4 in their range.

A) - 4 = sqrt (x) - 5

1 = sqrt (x)

x = 1; valid

B) - 4 = sqrt (x) + 5

-9 = sqrt (x)

x = 81; valid

C) - 4 = sqrt (x + 5)

16 = x + 5

x = 11; valid

D) - 4 = sqrt (x - 5)

16 = x - 5

x = 21

I believe the equations contain square instead of square root, in which case the answer would be A because no other could have a negative range.