Final answer:
To determine the interval(s) on which a function is decreasing, we need to find where the derivative of the function is negative. In this case, the function is decreasing on the interval (1, ∞). The correct answer is B. (1, [infinity]).
Step-by-step explanation:
To determine the interval(s) on which a function is decreasing, we need to find where the derivative of the function is negative. In this case, we are given the intervals (1, ∞) and (0, ∞). To determine which of these intervals the function is decreasing on, we need to look at the sign of the derivative at any point within each interval.
If the derivative is negative, then the function is decreasing. If the derivative is positive, then the function is increasing. Based on this, we can conclude that the function is decreasing on interval (1, ∞). So, the correct answer is B. (1, ∞).
The concept of infinity in mathematics represents a boundless or endless quantity, a value greater than any real or imaginable number. It's not a specific number but rather a concept used to describe a quantity that has no limit.