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 decreasing on the interval(s) $(-3,\\infty)$\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\nc. select the correct choice below and, if necessary, fill in the answer box to complete your choice\na. the function is constant 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 constant.

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 decreasing on the interval(s) $(-3,\\infty)$\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\nc. select the correct choice below and, if necessary, fill in the answer box to complete your choice\na. the function is constant 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 constant.

Answer

Explanation:

Step1: Analyze the function's behavior

A function is increasing if as (x) increases, (y) increases. A function is decreasing if as (x) increases, (y) decreases. A function is constant if as (x) increases, (y) remains the same. Looking at the graph, for all (x>-3), as (x) increases, (y) decreases. There is no interval where the function is increasing (since there is no part of the graph where (y) increases as (x) increases). For the constant - part, there is no interval where (y) remains the same as (x) changes.

Answer:

a. There is no interval on which the function is increasing. b. The function is decreasing on the interval ((-3,\infty)) c. B. There is no interval on which the function is constant.