which is a possible turning point for the continuous function f(x)?\n(-3, -4)\n(-2, -1)\n(0, -5)\n(1…

which is a possible turning point for the continuous function f(x)?\n(-3, -4)\n(-2, -1)\n(0, -5)\n(1, -8)\nx\tf(x)\n-4\t-6\n-3\t-4\n-2\t-1\n-1\t-2\n0\t-5\n1\t-8\n2\t-16

which is a possible turning point for the continuous function f(x)?\n(-3, -4)\n(-2, -1)\n(0, -5)\n(1, -8)\nx\tf(x)\n-4\t-6\n-3\t-4\n-2\t-1\n-1\t-2\n0\t-5\n1\t-8\n2\t-16

Answer

Explanation:

Step 1: Identify trend changes in function values

From ( x = -4 ) to ( x = -2 ), ( f(x) ) increases ((-6 \to -4 \to -1)). From ( x = -2 ) to ( x = 1 ), ( f(x) ) decreases ((-1 \to -2 \to -5 \to -8)).

Step 2: Locate the point where the trend shifts

The increase stops and decrease starts at ( x = -2 ), corresponding to the point ((-2, -1)). Other points either continue the same trend or are outside the trend shift.

Answer:

((-2, -1))