Question

The range of which function includes -4?

Answer 1

Start with the last two choices.
You have x + 5 and x - 5 in the square root.
A square root can never be negative.
That means that the lowest value y can have in the last two choices is 0.
The range does not include -4.

Now look at choice B.
sqrt(x) is at least 0.
Then you add 5.
The range does not include -4.

Now look at choice A.
sqrt(x) is at least 0.
Now you subtract 5.
The lowest value y can have is -5. That includes -4.
Choice A is the answer.
y will be at least 5.