Answer:
Domain = (-3,∞)
Range = (∞,0)
as x → ∞ ; y → 0
as x → -∞ ; y → +∞
Explanation:
Domain : The function has value of y for all the values of x greater than -3
At x = -3 , y tends to ∞
Hence Domain = (-3,∞)
Range : The range is all the possible values of y. here we can see that y is coming from ∞ and tending towards 0. But not becoming 0 and neither it is going less than 0. Hence Range will be (∞,0)
End behavior :
as x → ∞ ; y → 0
as x → -∞ ; y → +∞ ( However x is not going lesser that -3)