Deadline: Sunday, April 26, 2009
Remember to check announcements and your messages in MyMathLab daily.
a. Objectives
This lesson covers sections 6.1, 6.2 and 6.3 in your textbook and Quiz 10. When you complete this lesson you should be able to solve each of the following types of problems, showing all relevant steps:
6.1.1. Form a composite function, and find its domain.
6.2.1. Determine whether a function is one-to-one by using the Horizontal Line Test.
6.2.2. Determine the inverse of a function defined by a set of ordered pairs.
6.2.3. Determine the inverse of a function defined by an equation.
6.2.4. Obtain the graph of an inverse function from the graph of the function.
6.3.1. Evaluate exponential functions.
6.3.2. Graph exponential functions of the form f(x)= a^x, where a is greater than one. Sketch the graph with the proper shape and end-behaviors, and give the equation of the horizontal asymptote. Label three points on the graph.
6.3.3. Graph exponential functions of the form f(x)= a^x, where a is between zero and one. Sketch the graph with the proper shape and end-behaviors, and give the equation of the horizontal asymptote. Label three points on the graph.
6.3.4. Define the number "e".
6.3.5. Graph exponential functions using transformations. Sketch the graph with the proper shape and end-behaviors, and give the equation of the horizontal asymptote. Label three points on the graph.
6.3.6. Solve exponential equations.
b. Assignments and Due Dates
All assignments for Lesson 10 must be completed and submitted by 11:59pm on Sunday, April 26, 2009. Assignments for this lesson include:
1. Learn the material in 6.1 by using "E-text, Videos, Practice" (study the text, view videos, do example problems and practice problems) AND/OR using the "Lecture Notes" (read the lecture notes, work out the examples, and check your answers using the key). Both are accessed through the MyMathLab (MML) menu on the left of this page.
2. Complete the homework assignment for 6.1. Homework assignments are accessed through "Homework" on MML menu on the left.
3. Learn the material in 6.2 by using"E-text, Videos, Practice" (study the text, view videos, do example problems and practice problems) AND/OR using the "Lecture Notes" (read the lecture notes, work out the examples, and check your answers using the key). Both are accessed through the MML menu on the left of this page.
4. Complete the homework assignment for 6.2. Homework assignments are accessed through "Homework" on the MML menu on the left.
5. Learn the material in 6.3 by using "E-text, Videos, Practice" (study the text, view videos, do example problems and practice problems) AND/OR using the "Lecture Notes" resource (read the lecture notes, work out the examples, and check your answers using the key). Both are accessed through the MML menu on the left of this page.
6. Complete the homework assignment for 6.3. Homework assignments are accessed through "Homework"on the MML menu on the left.
7. Complete and submit Quiz 10. Quizzes are accessed through "Quizzes/Test Rev" on the MML menu on the left.
Online College Algebra Lessons
Created by Carol Congleton, ccongleton@miracosta.edu
Mathematics Department
MiraCosta College
Graphics files used with permission of Richard S. Palais
http://rsp.math.brandeis.edu/3D-XplorMath/Surface/gallery.html
Lesson 10: Section 6.1, 6.2, and 6.3; Quiz 10
