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

An increasing function has a graph that rises as we move from left to right. Looking at the given graph, we can observe that the function rises in the interval from \(x = 1\) to \(x = 2\) and from \(x = 4\) to \(x = 5\).

Answer:

\((1,2),(4,5)\)