Question

Graph the function y = √ + – 2. Then state the domain and range of the function.

Answer 1

Domain- [-4,∞) ; Range- [-2,∞)

Explanation:

`y=√(x+4) -2`

For Domain, we need to find the range of value for x,

As the value for x+4 should be positive or 0 because it is under the square root bracket sign.

`x+4\geq 0`

`x\geq -4`

x ∈ [-4,∞)

For the range of values, we need to find all the possible value of y

As the value given by the square root will always be greater than equal to 0.

`√(x+4)\geq 0`

`√(x+4) -2\geq -2`

Therefore ,

y ∈ [-2,∞)