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DrDelMath

PRECALCULUS by Barnett/Ziegler/Byleen
SUMMARY

Chapter 1:  Functions

Section 1.2: Definition of Function (page 17) The definition presented here is Definition 1 as stated in the text. This is the definition which will be used in this class.



                                

 

 

Function Notation

 


                              

 

Sample Exercises

A Power Point presentation with some good examples is presented in Special Topics

Introduction to Functions

You should study that presentation before proceeding.

 

A discussion of quite a few examples of several different types of functions are presented in this Special Topic article.

Functions - Introductory Examples

You should study that article before proceeding.

Recommended Exercises Page 34.
If you understand the previous material you should be able to work the following exercises.
Each of the individually listed exercises should be done. In each of the lists (like 5 - 12) work as many as needed to insure that you understand the concept being illustrated or utilized.
1,3,5, 13 - 17, 37 - 52, 57, 59, 75, 79, 85.

Section 1.3: Functions: Graphs and Properties (page 39)

Sample Exercises



Sample Exercises

Recommended Exercises Page 51.
If you understand the previous material you should be able to work the following exercises.
Each of the individually listed exercises should be done. In each of the lists (like 5 - 12) work as many as needed to insure that you understand the concept being illustrated or utilized.
13-18, 25-30, 31, 33, 35, 51, 53, 79.

 

Section 1.4: Functions: Graphs and Transformations (page 57)

A Basic Library of Functions and their Graphs
  
  
  
 
 
 

 

 

 

Section 1.5: Operations on Functions; Composition (page 73)

The following picture is essential to understanding composition of functions.

                               

Sample Exercises

Recommended Exercises Page 82.
If you understand the previous material you should be able to work the following exercises.
Each of the individually listed exercises should be done. In each of the lists (like 5 - 12) work as many as needed to insure that you understand the concept being illustrated or utilized.
13-18, 19-24, 35-40, 47-54, 55, 56, 57, 58, 77, 79.

 

Section 1.6: Inverses of Functions (page 86)

The following diagram illustrates the relationship between a function and it inverse.
Think of the red arrows as the rule for a function f and the blue arrows as the rule for its inverse f-1

                    

Sample Exercises

 

Recommended Exercises Page 99.
If you understand the previous material you should be able to work the following exercises.
Each of the individually listed exercises should be done. In each of the lists (like 5 - 12) work as many as needed to insure that you understand the concept being illustrated or utilized.
7-18, 19, 21, 24, 25, 33, 34, 37, 49-54, 55, 57, 63.