Question

use the graph to determine
(a) open intervals on which the
function is increasing, if any.
(b) open intervals on which the
function is decreasing, if any.
(c) open intervals on which the
function is constant, if any.

(a) select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the function is increasing on the interval(s)
(type your answer in interval notation. use a comma to separate answers as needed.)
b. the function is never increasing

Explanation:

Step1: Analyze the graph for increasing intervals

A function is increasing when, as \(x\) increases, \(y\) also increases. Looking at the graph, from \(x = -6\) to \(x=-4\), the \(y -\)values go up as \(x\) increases. Also, from \(x=-2\) to \(x = -1\), the \(y -\)values increase as \(x\) increases.
In interval notation, these intervals are \((-6,-4)\) and \((-2,-1)\)

Answer:

\((-6,-4),(-2,-1)\)