Mat db v

UnitV.pdf

MAT 1302, College Algebra 1

Course Learning Outcomes for Unit V Upon completion of this unit, students should be able to:

1. Solve algebraic functions. 1.1 Apply the algebra of functions and the composition of functions to form new functions. 1.2 Solve inverse functions algebraically and graphically. 1.3 Find the inverse of a function.

2. Apply algebraic principles to solve inequalities.

2.1 Solve polynomial and rational inequalities.

4. Graph unique functions. 4.1 Graph inverse and rational functions. 4.2 Identify vertical and horizontal asymptotes of rational functions.

Required Unit Resources Chapter 2: Functions and Graphs, Sections 2.6, 2.7 Chapter 3: Polynomial and Rational Functions, Sections 3.5, 3.6

Unit Lesson This unit lesson provides an overview of concepts that you will learn in Unit V as well as links to required lesson videos. For additional instruction and examples, please refer to Sections 2.6, 2.7, 3.5, and 3.6 in your textbook. It is recommended to use the Unit V Homework Video Note-Taking Guide as you work through the videos.

Section 2.6: Combinations of Functions; Composite Functions In this section, we will learn how to identify the variables that make a function work and combine functions to make new functions. The following videos can be viewed here as well as in your homework assignment. Please click the titles below to view the videos. A transcript and closed captioning are available once you access the videos.

• Domains of Functions

• Combining Functions Section 2.7: Inverse Functions

The inverse of a function undoes the changes that were produced by the original function. If we start with a single variable, x, and then multiply by 3 and add 2, then we would have a function of To undo the function, we would subtract 2 and divide by 3. Performing those operations would get us back to the original x-variable. So, the inverse of the function, denoted In this section, we will examine this process and learn how to verify and find inverse functions.

UNIT V STUDY GUIDE

More on Functions and Inequalities

https://online.columbiasouthern.edu/bbcswebdav/xid-146145209_1

https://www.youtube.com/watch?v=DMrIagLiDNU

https://www.youtube.com/watch?v=6ghkdsFbhMw

MAT 1302, College Algebra 2

UNIT x STUDY GUIDE

Title

The following videos can be viewed here as well as in your homework assignment. Please click the titles below to view the videos. A transcript and closed captioning are available once you access the videos.

• Inverse Functions

• Graphs of Inverse Functions

Section 3.5: Rational Functions and Their Graphs Rational functions are functions that have a variable or expression in the denominator. All rational functions can be expressed as where p(x) and q(x) are polynomials and q(x) cannot equal zero. In this section, we will learn about the characteristics of rational functions and their graphs. The following videos can be viewed here as well as in your homework assignment. Please click the titles below to view the videos. A transcript and closed captioning are available once you access the videos.

• Rational Functions, Part I

• Rational Functions, Part II

Section 3.6: Polynomial and Rational Inequalities As we have seen in previous units, inequalities use inequality signs that express solutions as greater than, less than, greater than or equal to, or less than or equal to. In this section, we will learn how to solve inequalities that contain polynomial and rational expressions. The following videos can be viewed here as well as in your homework assignment. Please click the titles below to view the videos. A transcript and closed captioning are available once you access the videos.

• Polynomial Inequalities.

• Rational Inequalities, Part I

• Rational Inequalities, Part II

Additional Help Available If you find yourself needing additional assistance with course material, please know that the Math Center is available and ready to help. Click the Math Center Request form to get connected with the Math Center’s tutors.

Learning Activities (Nongraded) Nongraded Learning Activities are provided to aid students in their course of study. You do not have to submit them. If you have questions, contact your instructor for further guidance and information.

Open your study plan in MyMathLab to see your progress and do supplemental practice exercises. The study plan will update each time you take an assessment. The study plan is for extra practice. For assistance with course content, you may contact your instructor or a math specialist. Click the Student Resources link to find contact information for the Math Center.

https://www.youtube.com/watch?v=kvSmESoYJHU

https://www.youtube.com/watch?v=-n3L7Z0fWiA

https://www.youtube.com/watch?v=iiqrdp96U0o

https://www.youtube.com/watch?v=DfOU8DqsMh0

https://www.youtube.com/watch?v=f5j9BL8IvbI

https://www.youtube.com/watch?v=B7PVjgIZp30

https://www.youtube.com/watch?v=_Ua9kyaC398

https://mycsu.columbiasouthern.edu/student/forms/courses/math-center-request/

UnitVDiscussionBoard.docx

Unit V Discussion Board

Watch Video 3: The Power of "Yet," and evaluate your course progress. Are you meeting your goals for the course? What goals do you have for the remainder of the class? What strategy can you implement to help you achieve those goals?

Next, respond to another student's post. What are some ideas or tips that might help them reach their goals?

Note: To locate the video transcript, please click on the settings and select English for the transcript to appear. You may also use closed-captioning.

If no initial posts exist to allow for a response to be made, you may submit an additional initial post addressing another aspect of the unit topic.

https://mediaplayer.pearsoncmg.com/assets/mindset_3?centerwin=yes

Reply: Daniel Reid

Hello everyone,

As we started this course I had anxiety and for someone that has used explosives on the daily for over 25 years that is not something I usually have. At this point I have settled the nerves and realized my strengths and weaknesses. Fortunately I believe I am doing better than I thought I would. The words of Professor Morris during the live lecture about learning the rules really helped. If I am getting hung up its because I am not following the sequence correctly.

Going forward I need to focus on the fine details. Much like in high school it was always the little details like negative signs or forgetting a parentheses that always got me a wrong answer and redoing each problem multiple times. Its still my mathematical downfall and I plan to work on it.

I believe making the time to check work is a strategy that will help me pay attention to those fine details. However time consuming it does help with learning the sequences and rules that need to be applied to all equations.

Reply: Michael Gish

I am a very well-built procrastinator mostly by my own doing. This is something added with anxiety and panic that causes confusion and pessimistic thoughts and processes. The best part of this is I am surprised everyday, by not the failures that occur, but by the things I actually succeed in. Writing this out is just the most anxious thing I have done all day and my day is just beginning.

The only advice I can give is what I give myself. Small goals are a miracle that we can create.

1. Open the computer.

2. Open the class up.

3. Open the assignment.

4. Start the assignment

5. Finish the assignment.

These are all small goals that in the end create a big goal that you have finished. You may fail, but try again and in the end you will succeed if you want to.

UnitV.pdf

MAT 1302, College Algebra 1

Course Learning Outcomes for Unit V Upon completion of this unit, students should be able to:

1. Solve algebraic functions. 1.1 Apply the algebra of functions and the composition of functions to form new functions. 1.2 Solve inverse functions algebraically and graphically. 1.3 Find the inverse of a function.

2. Apply algebraic principles to solve inequalities.

2.1 Solve polynomial and rational inequalities.

4. Graph unique functions. 4.1 Graph inverse and rational functions. 4.2 Identify vertical and horizontal asymptotes of rational functions.

Required Unit Resources Chapter 2: Functions and Graphs, Sections 2.6, 2.7 Chapter 3: Polynomial and Rational Functions, Sections 3.5, 3.6

Unit Lesson This unit lesson provides an overview of concepts that you will learn in Unit V as well as links to required lesson videos. For additional instruction and examples, please refer to Sections 2.6, 2.7, 3.5, and 3.6 in your textbook. It is recommended to use the Unit V Homework Video Note-Taking Guide as you work through the videos.

Section 2.6: Combinations of Functions; Composite Functions In this section, we will learn how to identify the variables that make a function work and combine functions to make new functions. The following videos can be viewed here as well as in your homework assignment. Please click the titles below to view the videos. A transcript and closed captioning are available once you access the videos.

• Domains of Functions

• Combining Functions Section 2.7: Inverse Functions

The inverse of a function undoes the changes that were produced by the original function. If we start with a single variable, x, and then multiply by 3 and add 2, then we would have a function of To undo the function, we would subtract 2 and divide by 3. Performing those operations would get us back to the original x-variable. So, the inverse of the function, denoted In this section, we will examine this process and learn how to verify and find inverse functions.

UNIT V STUDY GUIDE

More on Functions and Inequalities

https://online.columbiasouthern.edu/bbcswebdav/xid-146145209_1

https://www.youtube.com/watch?v=DMrIagLiDNU

https://www.youtube.com/watch?v=6ghkdsFbhMw

MAT 1302, College Algebra 2

UNIT x STUDY GUIDE

Title

The following videos can be viewed here as well as in your homework assignment. Please click the titles below to view the videos. A transcript and closed captioning are available once you access the videos.

• Inverse Functions

• Graphs of Inverse Functions

Section 3.5: Rational Functions and Their Graphs Rational functions are functions that have a variable or expression in the denominator. All rational functions can be expressed as where p(x) and q(x) are polynomials and q(x) cannot equal zero. In this section, we will learn about the characteristics of rational functions and their graphs. The following videos can be viewed here as well as in your homework assignment. Please click the titles below to view the videos. A transcript and closed captioning are available once you access the videos.

• Rational Functions, Part I

• Rational Functions, Part II

Section 3.6: Polynomial and Rational Inequalities As we have seen in previous units, inequalities use inequality signs that express solutions as greater than, less than, greater than or equal to, or less than or equal to. In this section, we will learn how to solve inequalities that contain polynomial and rational expressions. The following videos can be viewed here as well as in your homework assignment. Please click the titles below to view the videos. A transcript and closed captioning are available once you access the videos.

• Polynomial Inequalities.

• Rational Inequalities, Part I

• Rational Inequalities, Part II

Additional Help Available If you find yourself needing additional assistance with course material, please know that the Math Center is available and ready to help. Click the Math Center Request form to get connected with the Math Center’s tutors.

Learning Activities (Nongraded) Nongraded Learning Activities are provided to aid students in their course of study. You do not have to submit them. If you have questions, contact your instructor for further guidance and information.

Open your study plan in MyMathLab to see your progress and do supplemental practice exercises. The study plan will update each time you take an assessment. The study plan is for extra practice. For assistance with course content, you may contact your instructor or a math specialist. Click the Student Resources link to find contact information for the Math Center.

https://www.youtube.com/watch?v=kvSmESoYJHU

https://www.youtube.com/watch?v=-n3L7Z0fWiA

https://www.youtube.com/watch?v=iiqrdp96U0o

https://www.youtube.com/watch?v=DfOU8DqsMh0

https://www.youtube.com/watch?v=f5j9BL8IvbI

https://www.youtube.com/watch?v=B7PVjgIZp30

https://www.youtube.com/watch?v=_Ua9kyaC398

https://mycsu.columbiasouthern.edu/student/forms/courses/math-center-request/

UnitVDiscussionBoard.docx

Unit V Discussion Board

Watch Video 3: The Power of "Yet," and evaluate your course progress. Are you meeting your goals for the course? What goals do you have for the remainder of the class? What strategy can you implement to help you achieve those goals?

Next, respond to another student's post. What are some ideas or tips that might help them reach their goals?

Note: To locate the video transcript, please click on the settings and select English for the transcript to appear. You may also use closed-captioning.

If no initial posts exist to allow for a response to be made, you may submit an additional initial post addressing another aspect of the unit topic.

https://mediaplayer.pearsoncmg.com/assets/mindset_3?centerwin=yes

Reply: Daniel Reid

Hello everyone,

As we started this course I had anxiety and for someone that has used explosives on the daily for over 25 years that is not something I usually have. At this point I have settled the nerves and realized my strengths and weaknesses. Fortunately I believe I am doing better than I thought I would. The words of Professor Morris during the live lecture about learning the rules really helped. If I am getting hung up its because I am not following the sequence correctly.

Going forward I need to focus on the fine details. Much like in high school it was always the little details like negative signs or forgetting a parentheses that always got me a wrong answer and redoing each problem multiple times. Its still my mathematical downfall and I plan to work on it.

I believe making the time to check work is a strategy that will help me pay attention to those fine details. However time consuming it does help with learning the sequences and rules that need to be applied to all equations.

Reply: Michael Gish

I am a very well-built procrastinator mostly by my own doing. This is something added with anxiety and panic that causes confusion and pessimistic thoughts and processes. The best part of this is I am surprised everyday, by not the failures that occur, but by the things I actually succeed in. Writing this out is just the most anxious thing I have done all day and my day is just beginning.

The only advice I can give is what I give myself. Small goals are a miracle that we can create.

1. Open the computer.

2. Open the class up.

3. Open the assignment.

4. Start the assignment

5. Finish the assignment.

These are all small goals that in the end create a big goal that you have finished. You may fail, but try again and in the end you will succeed if you want to.

UnitV.pdf

MAT 1302, College Algebra 1

Course Learning Outcomes for Unit V Upon completion of this unit, students should be able to:

1. Solve algebraic functions. 1.1 Apply the algebra of functions and the composition of functions to form new functions. 1.2 Solve inverse functions algebraically and graphically. 1.3 Find the inverse of a function.

2. Apply algebraic principles to solve inequalities.

2.1 Solve polynomial and rational inequalities.

4. Graph unique functions. 4.1 Graph inverse and rational functions. 4.2 Identify vertical and horizontal asymptotes of rational functions.

Required Unit Resources Chapter 2: Functions and Graphs, Sections 2.6, 2.7 Chapter 3: Polynomial and Rational Functions, Sections 3.5, 3.6

Unit Lesson This unit lesson provides an overview of concepts that you will learn in Unit V as well as links to required lesson videos. For additional instruction and examples, please refer to Sections 2.6, 2.7, 3.5, and 3.6 in your textbook. It is recommended to use the Unit V Homework Video Note-Taking Guide as you work through the videos.

Section 2.6: Combinations of Functions; Composite Functions In this section, we will learn how to identify the variables that make a function work and combine functions to make new functions. The following videos can be viewed here as well as in your homework assignment. Please click the titles below to view the videos. A transcript and closed captioning are available once you access the videos.

• Domains of Functions

• Combining Functions Section 2.7: Inverse Functions

The inverse of a function undoes the changes that were produced by the original function. If we start with a single variable, x, and then multiply by 3 and add 2, then we would have a function of To undo the function, we would subtract 2 and divide by 3. Performing those operations would get us back to the original x-variable. So, the inverse of the function, denoted In this section, we will examine this process and learn how to verify and find inverse functions.

UNIT V STUDY GUIDE

UnitVDiscussionBoard.docx

UnitV.pdf

UnitVDiscussionBoard.docx

UnitV.pdf

UnitVDiscussionBoard.docx