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) (1,1)
(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

A function is increasing when, as \(x\) increases, \(y\) also increases. Looking at the graph, we can observe the intervals where the function has a positive - slope.

Step2: Identify the increasing intervals

From the graph, we can see that the function is increasing on the intervals \((1,2)\) and \((3,4)\)

Answer:

A. The function is increasing on the interval(s) \((1,2),(3,4)\)