In what intervals is the graph of the function f(x) = (x^2 + 4x + 4)/(2x) increasing or decreasing?

A. The graph is increasing on the intervals (-∞, -2) ∪ (2, ∞). The graph is decreasing on the intervals (-2, 0) ∪ (0, 2).
B. The graph is increasing on the intervals (-∞, -2) ∪ (2, ∞). The graph is decreasing on the intervals (-2, 0) ∪ (0, 2).
C. The graph is decreasing on the intervals (-∞, -2) ∪ (2, ∞). The graph is increasing on the intervals (-2, 0) ∪ (0, 2).
D. The graph is decreasing on the intervals (-∞, -2) ∪ (0, 2). The graph is increasing on the intervals (-2, 0) ∪ (2, ∞ ).

Question

In what intervals is the graph of the function f(x) = (x^2 + 4x + 4)/(2x)  increasing or decreasing?

A.	 The graph is increasing on the intervals (-∞, -2) ∪ (2, ∞). The graph is decreasing on the intervals (-2, 0) ∪ (0, 2).
B.	 The graph is increasing on the intervals (-∞, -2) ∪ (2, ∞). The graph is decreasing on the intervals (-2, 0) ∪ (0, 2).
C.	 The graph is decreasing on the intervals (-∞, -2) ∪ (2, ∞). The graph is increasing on the intervals (-2, 0) ∪ (0, 2).
D.	 The graph is decreasing on the intervals (-∞, -2) ∪ (0, 2). The graph is increasing on the intervals (-2, 0) ∪ (2, ∞ ).

anonymous · Answer

@.Sam. can u help?

anonymous · Answer

I am not sure if you are allowed to use a calculator, but if you plug it is is easier to see without having to solve.  The answer is A.  I am not sure if you knew that A and B were the same answers but they are both correct based on what you typed.