Question

Select the correct answer.Which statement describes the end behavior of this absolute value function?y-10-8-6-10 -8. -66 8 10-4-21-2-224

Answer 1

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.