Question

Select all the statement that describe the rate of change of f over the interval 1.5 ≤ x ≤ 3.

Options:
a. The rate of change is 1/2.
b. The rate of change is decreasing.
c. The rate of change is increasing.
d. The rate of change is constant.

Answer 1

The rate of change of f(x) over the interval 1.5 ≤ x ≤ 3 is positive and decreasing in magnitude, but without the explicit function, we can't confirm if it's constant or equal to a specific value.

Step-by-step explanation:

To determine the rate of change of the function f(x) over the interval 1.5 ≤ x ≤ 3, we would generally need the explicit function to calculate it. However, based on the descriptions provided, if a function has a positive slope that is decreasing in magnitude with increasing x, it suggests that the rate of change is positive but is becoming less steep. This indicates that the rate of change is decreasing, but still positive within the mentioned interval. Without a specific function, we cannot determine if the rate of change is constant or if it has a specific value such as 1/2.