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mth122 >
week 6
MTH-122W Week 6 (September 29-October 5)
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fall 2024 >
mth122 >
week 6 >
outline
Outline
2.7 The Algebra of Functions
- recommended problems
- 4, 8, 12, 16, 18, 24, 30, 32, 34, 36, 38, 40, 42, 46, 50, 52, 56, 58, 62,
66, 68, 72, 76, 80, 84, 90, 92, 94, 96, 102, 108
- learning objectives
- find the sum or difference of two functions and the corresponding domain
- find the product or quotient of two functions and the corresponding domain
- find the composition of function
- find the domain of a composite function
- write a function as a composition of two functions
- calculate the difference quotient
2.8 Transformations of the Graph of a Function
- recommended problems
- 4, 6, 8, 12, 16, 20, 24, 26, 28, 34, 36, 38, 40, 44, 46, 50, 52, 54, 58,
60, 64, 66, 68, 72, 74, 76, 78, 82
- learning objectives
- graph vertical and horizontal shifts of the graph of a function
- graph a vertical compression or stretch of the graph of a function
- graph reflections across the \(x\)-axis of the graph of a function
- graph a horizontal compression or a stretch of the graph of a function
- graph reflections across the \(y\)-axis of a graph of a function
- graph combinations of transformations of the graph of a function
- identify an appropriate transformation of the graph of a function from a
given expression for the function
3.1 Quadratic Functions and Their Graphs
- recommended problems
- 4, 6, 8, 10, 12, 14, 16, 18, 20, 24, 26, 28, 30, 34, 36, 40, 42, 44, 48,
52, 56, 60, 62, 64, 66, 68, 72, 76, 84, 88, 96, 98, 100,
- learning objectives
- define a quadratic function
- use transformations to graph a function in standard form
- write a quadratic function in vertex form by completing the square
- find the vertex and axis of symmetry of the graph of a quadratic function
- identify the maximum or minimum value of a quadratic function
- graph a quadratic function in standard form
- find a quadratic function given its zeros
- solve applied problems using maximum and minimum function values
3.2 Polynomial Functions and Their Graphs
- recommended problems
- 6, 8, 10, 12, 16, 20, 22, 28, 30, 32, 36, 38, 42, 48, 52, 56, 62, 64, 66,
68, 74, 76, 82, 84, 86, 88, 92, 96, 100, 102, 106, 110, 114, 116, 124
- learning objectives
- define a polynomial function
- determine end behavior
- find \(x\)-intercepts and zeros by factoring
- sketch a complete graph of a polynomial function
- relate zeros, \(x\)-intercepts, and factors of a polynomial
- solve applied problems using polynomials
semesters >
fall 2024 >
mth122 >
week 6 >
assessments
Assessments
- All assessments are completed at
https://www.xyzhomework.com
- Calendar
of all XYZ Homework assessment deadlines (homework, quizzes, exams)
- Homework
- Homework 6 due by 11:59pm, Saturday, October 5: Sections 2.7, 2.8, 3.1, 3.2,
- Homework 7 due by 11:59pm, Saturday, October 12: Sections 3.3, 3.4, 3.5, 3.6
- Quiz
- Quiz 3 due by 11:59pm, Tuesday, October 8: Chapter 2
- Quiz 4 due by 11:59pm, Tuesday, October 22: Chapter 3
- Exam
- Exam 2 due by 11:59pm, Thursday, October 24: Chapters 2, 3
semesters >
fall 2024 >
mth122 >
week 6 >
handouts
Handouts
- Announcements
- Graph Paper is a folder containing a variery of graph paper
- Quadratic Functions and Expressions
- Polynomials
- Function Graphs
- Absolute Value
- Lines (review worksheets from Intermediate algebra)
semesters >
fall 2024 >
mth122 >
week 6 >
videos
Videos
- Playlists
- Recommended Problems
- Topics
- Chapter 2
- Chapter 3
- transformations of graphs
semesters >
fall 2024 >
mth122 >
week 6 >
technology
Technology
- Communication
- Calculator
- Desmos