use the graph to determine\na. open intervals on which the function is increasing, if any.\nb. open…
use the graph to determine\na. open intervals on which the function is increasing, if any.\nb. open intervals on which the function is decreasing, if any.\nc. open intervals on which the function is constant, if any.\na. the function is increasing on the interval(s)\n(type your answer in interval notation. use a comma to separate answers as needed.)\nb. there is no interval on which the function is increasing.\nb. select the correct choice below and, if necessary, fill in the answer box to complete your choice\na. the function is decreasing on the interval(s)\n(type your answer in interval notation. use a comma to separate answers as needed.)\nb. there is no interval on which the function is decreasing
Answer
Explanation:
Step1: Analyze function increasing
A function is increasing when, as (x) values increase, (y) values increase. Looking at the graph, there is no such interval.
Step2: Analyze function decreasing
A function is decreasing when, as (x) values increase, (y) values decrease. From the graph, we can see that for all the non - constant part of the graph (since there is no increasing part), we assume the relevant (x) range. If we consider the standard coordinate system and the trend of the line in the graph (assuming the line is defined for (x\in(-\infty,\infty)) in its non - constant behavior), the function is decreasing for all (x) values where it has a non - constant (and decreasing) trend. If we assume the line is defined for all real (x) (as per the arrow indicating the line continues), the interval is ((-\infty,\infty))
Answer:
a. B. There is no interval on which the function is increasing. b. A. The function is decreasing on the interval ((-\infty,\infty))