Graph the function and give the intervals on which F ( x ) is increasing, decreasing, or constant.
A) increasing on (-∞, 1) constant on (1, ∞)
B) increasing on (-∞, 1) constant on (1, ∞)
C) decreasing on (-∞, 0) increasing on (0, 1) constant on (1, ∞)
D) decreasing on (-∞, 0) increasing on (0, 1) constant on (1, ∞)
E) increasing on (-∞, 0) decreasing on (0, ∞)

Question

Graph the function and give the intervals on which F ( x ) is increasing, decreasing, or constant. 
A) increasing on (-∞, 1) constant on (1, ∞) 
B) increasing on (-∞, 1) constant on (1, ∞) 
C) decreasing on (-∞, 0) increasing on (0, 1) constant on (1, ∞) 
D) decreasing on (-∞, 0) increasing on (0, 1) constant on (1, ∞) 
E) increasing on (-∞, 0) decreasing on (0, ∞)

Quizplus · Accepted Answer

The graph of the function has a local maximum at x=0 and a local minimum at x=1, and is decreasing on (-∞,0) and increasing on (0,1), which means F(x) is decreasing on (-∞,0), increasing on (0,1), and constant on (1,∞). Therefore, the correct choice is C.

Graph the Function and Give the Intervals on Which F