Question

question 8 (3 points)
interval: (1, ∞)
a increasing
b decreasing
c constant
d undefined

Explanation:

To determine the behavior of a function on the interval \((1, \infty)\), we analyze the trend of the function's output as the input (x - value) increases. If as \(x\) increases (moving from left to right on the graph) within \((1, \infty)\), the function's \(y\) - value also increases, the function is increasing on that interval. The option "Increasing" (option a) fits the description of a function whose output rises as the input increases over the interval \((1, \infty)\). "Decreasing" would mean the \(y\) - value falls as \(x\) increases, "Constant" would mean the \(y\) - value stays the same, and "Undefined" is not a valid description for the behavior of a function on an interval in the context of increasing/decreasing/constant analysis.

Answer:

a. Increasing