Question

The range of which function includes -4?

Answer 1

Option A

Explanation:

If the number is under the square root, then it is a domain, not a range

if the number is outside of the square root, then it is a range

-4 is included in A because it is a -5, if it were a positive, then it wouldn't work

because there are no negatives included in a positive.

Hope this helps!!!

Answer 2

To calculate the range of the given function we first need to calculate for the inverse of the function;
y=sqrt(x)-5
this can be written as:
y+5=sqrt(x)
From the above equation we can conclude that we can get the squaring of all values of x such that:
x≥-5
otherwise we won't get any square root since the square roots of negative numbers will complex numbers;
thus we conclude that the range of the function is {y∈R: y≥-5}
since -4 is included in this set, then our answer is option [A]