which is a possible turning point for the continuous function f(x)?
which is a possible turning point for the continuous function f(x)?
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
For (x=-4), (f(-4)=-6); for (x = - 3), (f(-3)=-4); for (x=-2), (f(-2)=-1); for (x=-1), (f(-1)=-2); for (x = 0), (f(0)=-5); for (x = 1), (f(1)=-8); for (x = 2), (f(2)=-16). The function is decreasing from (x=-2) to (x = 1). Before (x=-2) the function is increasing ((f(-3)=-4) and (f(-2)=-1)) and after (x=-2) it is decreasing ((f(-2)=-1) and (f(-1)=-2)).
Answer:
((-2,-1))