Question

For a function to be decreasing over an interval, the

a) outputs are getting smaller as the inputs of the function are getting larger.

b) outputs of a decreasing interval could be positive or negative.

c) outputs must be negative, while the inputs could be positive or negative.

d) None of the above.

Answer 1

To determine if a function is decreasing over an interval, we look at the relationship between the inputs and outputs of the function. If the outputs are getting smaller as the inputs are getting larger, then the function is decreasing.

Step-by-step explanation:

For a function to be decreasing over an interval, the outputs are getting smaller as the inputs of the function are getting larger. Therefore, the correct answer is option a) outputs are getting smaller as the inputs of the function are getting larger. In other words, as the x-values increase, the y-values decrease.