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. there is no interval on which the function is increasing.

Explanation:

Step1: Identify increasing interval

A function increases when its graph rises as x increases. Looking at the graph, as x moves from 2 to positive infinity, the y-values rise.

Step2: Identify decreasing interval

A function decreases when its graph falls as x increases. As x moves from negative infinity to 2, the y-values fall.

Step3: Check for constant interval

A constant function has a flat graph. This graph has no flat segments, so no constant interval.

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a.

Answer:

A. The function is increasing on the interval(s) $(2, \infty)$

b.