Provide an appropriate response.
-Use a graphing utility to approximate the intervals where f(x) is decreasing and intervals where f(x) is increasing for the function Round your answer to two decimal places.
A) decreasing on (-0.82, 0.62)
B) and (0.62, 2.45); increasing on (-0.82, 0.62) and (2.45, ∞)
C) ) and (0.62, 2.45); decreasing on (-0.82, 0.62) and (2.45, ∞)
D) increasing on (-0.82, 0.62)

Question

Provide an appropriate response.
-Use a graphing utility to approximate the intervals where f(x) is decreasing and intervals where f(x) is increasing for the function  Round your answer to two decimal places.
A) decreasing on (-0.82, 0.62) 
B) and (0.62, 2.45); increasing on (-0.82, 0.62) and (2.45, ∞) 
C) ) and (0.62, 2.45); decreasing on (-0.82, 0.62) and (2.45, ∞) 
D) increasing on (-0.82, 0.62)

Quizplus · Accepted Answer

According to the information given, f(x) is increasing on (-0.82, 0.62) and (2.45, ∞) and decreasing on (0.62, 2.45). Therefore, option B is the correct choice which includes all intervals where f(x) is increasing and decreasing. The graphing utility approximation shows that the function is decreasing on the interval (-0.82, 0.62) and increasing on (0.62, 2.45) and (2.45, infinity). Therefore, choice B is the best answer that accurately reflects the intervals of decreasing and increasing.

Provide an Appropriate Response