Question

What is the range of the function y=square x+5

Answer 1

The "range" here means the restrictions of y.

You should know for y = sqrt(x) function, it's range is y >=0

Here it's the same thing.

Answer 2

Option B is correct.

The range of the function is
`y\geq 0`

Step-by-step explanation:

The function y=f(x) =
`√(x+5)`

The range of a function y=f(x) is the set of values y takes for all values of x within the domain of y=f(x).

The domain of given function f(x) is the set of all values of x in the interval
`[-5, \infty)`

As x takes values from -5 to
`+\infty`,

then,
`√(x+5)` takes values from
`√(0)` =0 to
`√(+\infty)`

Therefore, the range of the y=
`√(x+5)` is given by:
`[0, \infty)` or we can also write it as
`y\geq 0`