Question

Over which intervals is the function decreasing?

A) (0, [infinity])
B) (-[infinity], 0)
C) (2, 4)
D) (1, 3)

Answer 1

To determine where a function is decreasing, we need to analyze the sign of its derivative. In this case, we are given intervals and can rule out options A and C. The function is decreasing over intervals B and D.

Step-by-step explanation:

To determine where a function is decreasing, we need to look for intervals where the function's slope is negative. In other words, we need to find intervals where the derivative of the function is negative. To find the intervals of a function, we need to take the derivative of the function and analyze the sign of the derivative.

In this case, we don't have the function or its equation, so we can't find the derivative directly. However, we are given the intervals (0, ∞), (-∞, 0), (2, 4), and (1, 3). We can rule out options A and C, as they are increasing intervals. Therefore, the intervals over which the function is decreasing are option B (-∞, 0) and option D (1, 3).