Question

watch the video and then solve the problem given below
click here to watch the video.
use the graph to determine
(a) intervals on which the function is increasing, if any
(b) intervals on which the function is decreasing, if any
(c) 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: Identify increasing intervals

A function increases when its graph rises as x increases. Looking at the graph:

• From $x=-6$ to $x=-4$, the graph goes up.
• From $x=-2$ to $x=0$, the graph goes up.

Step2: Identify decreasing intervals

A function decreases when its graph falls as x increases. Looking at the graph:

• From $x=-4$ to $x=-2$, the graph goes down.
• From $x=0$ to $\infty$, the graph goes down.
• From $-\infty$ to $x=-6$, the graph goes down.

Step3: Check for constant intervals

A function is constant when its graph is horizontal. There are no horizontal segments on the graph.

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(a)

Answer:

A. The function is increasing on the interval(s) $(-6, -4), (-2, 0)$

(b)