149k views
2 votes
Help with a function graph? Please!?

Please describe how to find the interval(s) where the function is decreasing and how interval notation is used to express the interval(s). Please! I really don't understand.

Help with a function graph? Please!? Please describe how to find the interval(s) where-example-1
User Cyberlobe
by
8.6k points

1 Answer

6 votes
We notice that as you go from -5 to 0, the line is continuously decreasing. Here we say that in the interval (-5, 0) the function is "decreasing".

Similarly, as we go (in x) from 0 to 4, the line goes up. Here we say that the function is increasing in (0, 4).

In [-8, -5) and [4, 8) the line is "constant", so no increase or decrease at any point.

Using a square bracket " [ " indicates that the endpoint is included, while a " ( " indicates it is not.


When we indicate increasing or decreasing intervals the endpoints are always open, that is, not included. This is a subtle point related to a later concept.
User Urbley
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories