The graph of a function is sketched below.
Determine the interval on which the function is decreasing.

A)(-∞, -3] ∩ [-1, ∞)
B)[-3, -1]
C)[-1, -1]
D)[1, 3]
E)(-∞, -3] ∩ [-1, ∞)

Question

The graph of a function is sketched below. ​  ​
Determine the interval on which the function is decreasing.
​
A)(-∞, -3] ∩ [-1, ∞) 
B)​[-3, -1] 
C)​[-1, -1] ​ 
D)​[1, 3] ​ 
E)(-∞, -3] ∩ [-1, ∞) ​

Quizplus · Accepted Answer

The function is decreasing on the interval [-3, -1], as the slope of the graph is negative on this interval. On the intervals (-∞, -3] and [-1, ∞), the function is increasing, as the slope of the graph is positive on these intervals. Therefore, the only interval on which the function is decreasing is [-3, -1].

The Graph of a Function Is Sketched Below