which is a possible turning point for the continuous function f(x)?\n(-3, -4)\n(-2, -1)\n(0, -5)\n(1, -8)

Explanation:

Step1: Analyze the trend of function values

For a continuous function, a turning point is a point where the function changes from increasing to decreasing or vice - versa. We check the trend of (y = f(x)) values: When (x=-4), (f(-4)=-6); when (x = - 3), (f(-3)=-4); when (x=-2), (f(-2)=-1). The function is increasing from (x=-4) to (x=-2) ((f(-4)<f(-3)<f(-2))). When (x=-2), (f(-2)=-1); when (x=-1), (f(-1)=-2); when (x = 0), (f(0)=-5); when (x = 1), (f(1)=-8); when (x = 2), (f(2)=-16). The function is decreasing from (x=-2) to (x = 2) ((f(-2)>f(-1)>f(0)>f(1)>f(2))).

Answer:

((-2,-1))