Must a function that is decreasing over a given interval always be negative over that same interval? Explain.

The correct answer is:

no.

Explanation:

For a function to be decreasing over an interval, the value of the function, f (x), must decrease as x increases. This does not, however, mean that the values of the function are negative. The function could have a positive range while still decreasing (becoming smaller positive numbers as x increase).