Unit 1A - Review of Functions
Lesson 1.1 - The Basics of Functions (Review)
Learning Objectives: SWBAT
- Explain how/why the relationship between two variables is classified as a “function”
- Determine whether or not a set of ordered pairs is a function
- Test for functions Algebraically
- Evaluate a function for a given input value
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lesson 1.1 - Review of functions basics |
Lesson 1.2 - Domain/Introduction to Piecewise Functions
Learning Objectives: SWBAT
Learning Objectives: SWBAT
- Evaluate a piecewise function for a given input value
- Identify the domain of a function given a set of ordered pairs
- Identify the domain of a function given an equation
- Identify the domain and range of a relation/function by graphing
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lesson 1.2 - Domain/Intro to piecewise functions |
Lesson 1.3 - Difference Quotients
Learning Objectives: SWBAT
Learning Objectives: SWBAT
- Evaluate a difference quotient
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lesson 1.3 - Difference Quotients |
Lesson 1.4 - Using Interval Notation to quantify Domain and range
Learning Objectives: SWBAT
Learning Objectives: SWBAT
- State the domain and range of a relation/function using interval notation
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Lesson 1.4 - Using interval notation to define domain and range |
Lesson 1.5 - Defining Increasing/Decreasing intervals
Learning Objectives: SWBAT - Given the graph of a function...
Learning Objectives: SWBAT - Given the graph of a function...
- Use interval notation define its increasing/decreasing/constant intervals
- Describe the similarities and difference between absolute and relative maxima/minima
- Use a graphing utility to approximate the maxima/minima of a function
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lesson 1.5 - Defining Increasing/decreasing intervals |
Lesson 1.6 - Graphing Piecewise Functions
Learning Objectives: SWBAT
Learning Objectives: SWBAT
- Graph a piecewise function by hand
- Write the equations of a piecewise function given its graph
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lesson 1.6 - Piecewise Functions |
Lesson 1.7 - Odd and Even Functions
Learning Objectives: SWBAT
Learning Objectives: SWBAT
- Explain the difference (graphically) between an function that is odd, even or neither
- Determine whether or not a function is odd, even or neither algebraically and graphically
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lesson 1.7 - Even and Odd Functions |
Lesson 1.8 - Transformations and end behavior of Polynomials
Learning Objectives: SWBAT
Learning Objectives: SWBAT
- Use transformations to sketch the graphs of polynomial functions
- Describe the transformations present for a function given its equation
- Use the leading coefficient test to determine the end behavior of polynomial function graphs
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lesson 1.8 - Transformations & Polynomial End Behavior |
Lesson 1.9 - Zeros and multiplicity
Learning Objectives: SWBAT
Learning Objectives: SWBAT
- Determine the zeros of a polynomial function algebraically (factoring) and with a graphing utility
- Determine the multiplicity of a given zero
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Lesson 1.9 - Zeros and Multiplicity |
Lesson 1.10 - Sketching Polynomial Graphs
Learning Objectives: SWBAT
Learning Objectives: SWBAT
- Use zeros, multiplicity and end behavior to sketch the graph of a polynomial (by hand)
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Lesson 1.10 - Sketching Polynomial Graphs |
Lesson 1.11 - Writing Polynomial Functions
Learning Objectives: SWBAT
Learning Objectives: SWBAT
- Write a polynomial function equation given zeros and multiplicity
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Lesson 1.11 - Writing Polynomial Equations (real zeros) |