Question

Which of the following is the graph of y=sqr root -x-3

Answer 1

The graph in the attached figure

see the explanation

Explanation:

we have

`y=√(-x-3)`

we know that

The radicand must be greater than or equal to zero

so

`(-x-3)\geq 0`

solve for x

Adds 3 both sides

`-x\geq 0+3`

`-x\geq 3`

Multiply by -1 both sides

Remember that, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

`x\leq -3`

so

The domain of the function is the interval (-∞,-3]

For x=-3 ---> the value of y=0

The range is the interval {0,∞)

therefore

The graph in the attached figure