this is section 3.3 problem 26(a)(b): the function is represented by the graph in the textbook. use the…

this is section 3.3 problem 26(a)(b): the function is represented by the graph in the textbook. use the graph to find intervals that satisfy the following conditions. the answers should be in ascending order of x - values and either be an integer or an integer and a half such as \1.5\. use \dne\ if such interval does not exist. (a) the intervals on which the function is increasing are ( , ) and ( , ). (b) the intervals on which the function is decreasing are ( , ) and ( , ). hint: refer to figure 3.3.7. resources ebook submit answer -/8 points details my notes ask your teacher qianbuscalc2 3.3.026c1. for each function in exercises #27 to #30, do the following:

this is section 3.3 problem 26(a)(b): the function is represented by the graph in the textbook. use the graph to find intervals that satisfy the following conditions. the answers should be in ascending order of x - values and either be an integer or an integer and a half such as \1.5\. use \dne\ if such interval does not exist. (a) the intervals on which the function is increasing are ( , ) and ( , ). (b) the intervals on which the function is decreasing are ( , ) and ( , ). hint: refer to figure 3.3.7. resources ebook submit answer -/8 points details my notes ask your teacher qianbuscalc2 3.3.026c1. for each function in exercises #27 to #30, do the following:

Answer

Explanation:

Step1: Recall increasing - decreasing function concept

A function (y = f(x)) is increasing on an interval if for any two points (x_1) and (x_2) in the interval with (x_1<x_2), (f(x_1)<f(x_2)), and decreasing if (f(x_1)>f(x_2)).

Step2: Analyze the graph

By observing the graph of (y = f(x)), we look for parts where the curve is going up (increasing) and going down (decreasing).

  • For the increasing intervals:
    • Looking at the graph, we can see that the function is increasing on the intervals ((- 3,-1)) and ((1,3)).
  • For the decreasing intervals:
    • The function is decreasing on the intervals ((-1,1)) and ((3,4)).

Answer:

(a) The intervals on which the function is increasing are ((-3,-1)), ((1,3)) (b) The intervals on which the function is decreasing are ((-1,1)), ((3,4))