homework 3.3: rates of change and behavior of graphs score: 8/14 answered: 9/14 question 10 consider the…

homework 3.3: rates of change and behavior of graphs score: 8/14 answered: 9/14 question 10 consider the function graphed at right. the function has a select an answer of at x = the function is increasing on the interval(s): the function is decreasing on the interval(s): question help: video submit question

homework 3.3: rates of change and behavior of graphs score: 8/14 answered: 9/14 question 10 consider the function graphed at right. the function has a select an answer of at x = the function is increasing on the interval(s): the function is decreasing on the interval(s): question help: video submit question

Answer

Explanation:

Step1: Identify the maximum - point

The function has a peak. The highest value of the function occurs at the vertex of the parabola - like graph. The function has a maximum value.

Step2: Determine the x - value of the maximum

By observing the graph, the x - value at which the function reaches its maximum is (x=- 2). The maximum value of the function (the y - value at (x =-2)) is (y = 4).

Step3: Find the increasing interval

A function is increasing when the y - values increase as the x - values increase. Looking at the graph, the function is increasing on the interval ((-\infty,-2)).

Step4: Find the decreasing interval

A function is decreasing when the y - values decrease as the x - values increase. The function is decreasing on the interval ((-2,\infty)).

Answer:

The function has a maximum of (4) at (x=-2). The function is increasing on the interval ((-\infty,-2)). The function is decreasing on the interval ((-2,\infty)).