Find the domain and range of the function.
A) D : (-4, ∞), R : [0, ∞)
B) D : [-4, ∞), R : (0, ∞)
C) D : [-4, ∞), R : [0, ∞)
D) D : (-4, ∞), R : (0, ∞)

Question

Find the domain and range of the function. 
A) D : (-4, ∞), R : [0, ∞) 
B) D : [-4, ∞), R : (0, ∞) 
C) D : [-4, ∞), R : [0, ∞) 
D) D : (-4, ∞), R : (0, ∞)

Quizplus · Accepted Answer

Since the function has no square roots or denominators, we can assume that the domain is all real numbers except where the function is undefined. In this case, there is no such point. Therefore, the domain is (-∞, ∞).

To find the range, we need to look at the graph of the function. As x approaches -4, the function approaches 0 from above. The function continues to increase as x increases, but as x approaches infinity, the function approaches 0 from below. Therefore, the range is [0, ∞).

Find the Domain and Range of the Function