which is a possible turning point for the continuous function f(x)? (-3, -4) (-2, -1) (0, -5) (1, -8)
which is a possible turning point for the continuous function f(x)? (-3, -4) (-2, -1) (0, -5) (1, -8)
Answer
Explanation:
Step1: Recall turning - point concept
A turning point of a continuous function is a point where the function changes from increasing to decreasing or vice - versa.
Step2: Analyze function values
From the table, the function values are: (f(-4)=-6), (f(-3)=-4), (f(-2)=-1), (f(-1)=-2), (f(0)=-5), (f(1)=-8), (f(2)=-16). The function is increasing from (x = - 4) to (x=-2) ((f(-4)<f(-3)<f(-2))) and then starts decreasing from (x=-2) ((f(-2)>f(-1)>f(0)>f(1)>f(2))).
Answer:
((-2, - 1))