Question

part b. determine the intervals for which the function is increasing or decreasing.
the function is increasing when
the function is decreasing when
1
2
3

Explanation:

Step1: Analyze the increasing intervals

A function is increasing when its derivative is positive. From the given critical points \(x\approx - 3.90,x\approx - 0.67,x\approx0.57\), we consider the intervals. The function is increasing when \(x < - 2.67\) and \(x>0\).

Step2: Analyze the decreasing intervals

A function is decreasing when its derivative is negative. The function is decreasing when \(-2.67 < x <0\).

Answer:

The function is increasing when \(x < - 2.67\) and \(x>0\). The function is decreasing when \(-2.67 < x <0\).