Question

assignment 3.3 rates of change and behavior score: 5.5/12 answered: 8/12 question 9 mark the local extrema on the following graph. -5 -4 -3 -2 -1 1 2 3 4 5 -6 -12 -18 -24 -30 -36 -42 -48 -54 clear all draw: dot question help: message instructor submit question jump to answer

Explanation:

Step1: Recall local - extrema definition

Local extrema are points where the function changes from increasing to decreasing (local maximum) or from decreasing to increasing (local minimum).

Step2: Identify local maximum

The function changes from increasing to decreasing at the point approximately $x=-1$. The $y$ - value at this local maximum seems to be around $y = - 6$.

Step3: Identify local minimum

The function changes from decreasing to increasing at the point approximately $x = 3$. The $y$ - value at this local minimum seems to be around $y=-18$.

Answer:

Mark a dot at approximately $(-1,-6)$ for the local maximum and at approximately $(3, - 18)$ for the local minimum.