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Brainliest for correct awnser! Over what interval is the function in this graph decreasing?

Brainliest for correct awnser Over what interval is the function in this graph decreasing class=
Brainliest for correct awnser Over what interval is the function in this graph decreasing class=

Respuesta :

Answer:

Option (1)

Step-by-step explanation:

In the graph attached,

There are three intervals of the function graphed.

1st interval → -∞ < x < -3

2nd interval → -3 ≤ x ≤ 2

3rd interval → 2 < x < ∞

In the 1st interval, value of the function is constant. [represented by a straight horizontal line]

In the second interval, line graphed is slanting down. (slope of the line is negative).

Therefore, value of the function is decreasing in -3 ≤ x ≤ 2

In 3rd interval, slope of the line is positive. Therefore, function is increasing in the 3rd interval.

Option (1) will be the answer.