﻿ Increasing and Decreasing Functions

# INCREASING AND DECREASING FUNCTIONS

by Dr. Carol JVF Burns (website creator)
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• PRACTICE (online exercises and printable worksheets)

## DEFINITIONS:

 A function $\,f\,$ increases on an interval $\,I\,$ if and only if whenever $\,a < b\,$ in $\,I\,$, $\,f(a) < f(b)\,$. A function $\,f\,$ decreases on an interval $\,I\,$ if and only if whenever $\,a < b\,$ in $\,I\,$, $\,f(a) > f(b)\,$.

Roughly:
increasing means going strictly UPHILL, as you move from left to right on a graph
decreasing means going strictly DOWNHILL, as you move from left to right on a graph
Master the ideas from this section
by practicing the exercise at the bottom of this page.

When you're done practicing, move on to:
Reading Info from the Graph of a Function
On this exercise, you will not key in your answer.
However, you can check to see if your answer is correct.
PROBLEM TYPES:
 1 2 3
AVAILABLE MASTERED IN PROGRESS
 (MAX is 3; there are 3 different problem types.)