134k views
5 votes
Must a function that is decreasing over a given interval always be negative over that same interval? Explain.

User Ttemple
by
7.7k points

1 Answer

5 votes
The correct answer is:
no.

Step-by-step 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).
User Alphayax
by
8.8k points