Determine Where a Function is Increasing, Decreasing, or Constant
Now that we have more practice graphing and working with equations of functions, we will learn how to describe the behavior of a function over a large interval or by zooming in on a local area where the function's behavior changes.
Analyzing the Toolkit Functions for Increasing or Decreasing Intervals
We will now return to our toolkit functions and discuss their graphical behavior in Figure 10, Figure 11, and Figure 12.
Function  Increasing/Decreasing  Example 
Constant Function 
Neither increasing nor decreasing 

Identity Function 
Increasing 

Quadratic Function 
Figure 10
Function  Increasing/Decreasing  Example 
Cubic Function 
Increasing 

Reciprocal 

Reciprocal Squared 
Figure 11
Function  Increasing/Decreasing  Example 
Cube Root 
Increasing  
Square Root 
Increasing on  
Absolute Value 
Figure 12