Given: A absolute value function.
Required: To determine which statement describes the end behavior of this absolute value function.
Explanation: From the graph, it is clear that the maximum value of function f(x) is 5 at x=-4. From the left of x=-4, the graph decreases linearly meaning that the more negative x becomes, the more negative the value of the function becomes.
Hence we conclude that as x approaches negative infinity f(x) approaches negative infinity.
All the other options do not satisfy the given graph.
Final Answer: Option A is correct.
