Increasing, Decreasing, and Constant
In this lesson, we learn how to determine if a function is increasing, decreasing, or constant. We explore a piecewise function with multiple functions defined for specific constraints. By analyzing the output values of two points from left to right, we are able to determine when the graph is increasing or constant. We also learn that there are no decreasing intervals in this particular function. It is important to treat each part of the piecewise function separately and identify the intervals where the graph is increasing, decreasing, or constant.
Determining when a function is increasing decreasing or constant
I show how to solve math problems online during live instruction in class. This is my way of providing free tutoring for the students in my class and for students anywhere in the world. Every video is a short clip that shows exactly how to solve math problems step by step. The problems are done in real time and in front of a regular classroom. These videos are intended to help you learn how to solve math problems, review how to solve a math problems, study for a test, or finish your homework. I post all of my videos on YouTube, but if you are looking for other ways to interact with me and my videos you can follow me on the following pages through My Blog, Twitter, or Facebook.
- When is a function increasing?
- When is a function decreasing?
- What is a constant function?
-
Staff Review
At this stage it would help to state that a function is increasing for a given interval if the y-value increases as the x-value increases. In decreasing functions, the y-value decreases as the x-value increases
