problems 14—19 the graph of function f is shown. write a correct open interval in each box. assume that each…
problems 14—19 the graph of function f is shown. write a correct open interval in each box. assume that each graph continues infinitely far to the left and infinitely far to the right. 14. f is increasing on the open intervals and. f is decreasing on the open intervals and.
Answer
Explanation:
Step1: Recall increasing - decreasing definition
A function (y = f(x)) is increasing on an interval if for any (x_1<x_2) in the interval, (f(x_1)<f(x_2)), and decreasing if (f(x_1)>f(x_2)).
Step2: Identify increasing intervals
Looking at the graph, we see that the function is increasing from (x=-9) to (x = - 7) and from (x = 0) to (x=3). So the increasing intervals are ((-9,-7)) and ((0,3)).
Step3: Identify decreasing intervals
The function is decreasing from (x=-7) to (x = - 4) and from (x = 3) to (x=5). So the decreasing intervals are ((-7,-4)) and ((3,5)).
Answer:
Increasing intervals: ((-9,-7)), ((0,3)) Decreasing intervals: ((-7,-4)), ((3,5))