Question

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

Answer 1

Answer:

Domain- [-4,∞)  ; Range-  [-2,∞)

Step-by-step explanation:

$y=\sqrt{x+4} -2$

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.

$\sqrt{x+4}\geq 0$

$\sqrt{x+4} -2\geq -2$

Therefore ,

y ∈ [-2,∞)