based on the table, which best predicts the end behavior of the graph of f(x)?\nas x → ∞, f(x) → ∞, and as x…

based on the table, which best predicts the end behavior of the graph of f(x)?\nas x → ∞, f(x) → ∞, and as x → -∞, f(x) → ∞.\nas x → ∞, f(x) → ∞, and as x → -∞, f(x) → -∞.\nas x → ∞, f(x) → -∞, and as x → -∞, f(x) → ∞.\nas x → ∞, f(x) → -∞, and as x → -∞, f(x) → -∞.\n\nx f(x)\n-5 -6\n-4 -2\n-3 0\n-2 4\n-1 4\n0 0\n1 -2\n2 -6\n3 -10

based on the table, which best predicts the end behavior of the graph of f(x)?\nas x → ∞, f(x) → ∞, and as x → -∞, f(x) → ∞.\nas x → ∞, f(x) → ∞, and as x → -∞, f(x) → -∞.\nas x → ∞, f(x) → -∞, and as x → -∞, f(x) → ∞.\nas x → ∞, f(x) → -∞, and as x → -∞, f(x) → -∞.\n\nx f(x)\n-5 -6\n-4 -2\n-3 0\n-2 4\n-1 4\n0 0\n1 -2\n2 -6\n3 -10

Answer

Answer:

As (x\to\infty), (f(x)\to-\infty), and as (x\to-\infty), (f(x)\to-\infty)

Explanation:

Step1: Analyze positive - end behavior

As (x) increases from (1) to (3) ((x = 1,2,3)), (f(x)) values are (- 2,-6,-10). The values of (f(x)) are decreasing. So as (x\to\infty), (f(x)\to-\infty).

Step2: Analyze negative - end behavior

As (x) decreases from (-1) to (-5) ((x=-1,-2,-3,-4,-5)), (f(x)) values are (4,4,0, - 2,-6). The values of (f(x)) are also decreasing. So as (x\to-\infty), (f(x)\to-\infty).