Determine the intervals over which the function is increasing, decreasing, or constant.
A)constant on (-∞, 0) increasing on (0, ∞)
B)increasing on (-∞, 0), (1, ∞) descreasing on (0, 1)
C)constant on (-∞, 1) increasing on (1, ∞)
D)constant on (-∞, 1) descreasing on (1, ∞)
E)constant on (-∞, 0) descreasing on (0, 1)

Question

Determine the intervals over which the function is increasing, decreasing, or constant.  
A)​constant on (-∞, 0) increasing on (0, ∞) ​ 
B)increasing on (-∞, 0), (1, ∞) descreasing on (0, 1) 
C)​​constant on (-∞, 1) increasing on (1, ∞) ​ 
D)​constant on (-∞, 1) descreasing on (1, ∞) ​ 
E)​constant on (-∞, 0) descreasing on (0, 1) ​

Quizplus · Accepted Answer

The function appears to have a horizontal asymptote at y = 1, and crosses the x-axis at x = 0 and x = 1.

On the interval (-∞, 0), the function is increasing. 
On the interval (0, 1), the function is decreasing. 
On the interval (1, ∞), the function is increasing.

Therefore, the correct choice is B: increasing on (-∞, 0), (1, ∞) and decreasing on (0, 1).

Determine the Intervals Over Which the Function Is Increasing, Decreasing