HSF-BF.B.4
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- HSF-BF.B.3Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
- HSF-BF.B.4Find inverse functions.
- HSF-BF.B.5(+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.
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HSF-BF.B.4a
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- HSF-BF.B.4aSolve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x) =2 x^{3} or f(x) = (x+1)/(x–1) for x ≠ 1.
- HSF-BF.B.4b(+) Verify by composition that one function is the inverse of another.
- HSF-BF.B.4c(+) Read values of an inverse function from a graph or a table, given that the function has an inverse.
- HSF-BF.B.4d(+) Produce an invertible function from a non-invertible function by restricting the domain.
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HSF-BF.B.4a
Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x) =2 x^{3} or f(x) = (x+1)/(x–1) for x ≠ 1.
5 Lesson(s)
Fun with Functions: Basic Inverse and Function Operations
12th Grade Math »
Unit: Basic Functions and Equations
12th Grade Math »
Unit: Basic Functions and Equations
Big Idea:
Students learn different function operations with a colorful teacher-led presentation that engages students with tons of practice.
Standards:
Favorites
(15)
Resources
(22)
Reflections
(1)
Jeopardy: Basic Functions
12th Grade Math »
Unit: Basic Functions and Equations
12th Grade Math »
Unit: Basic Functions and Equations
Big Idea:
Fun (and basic function review) is what this lesson is all about. Students need to bring their thinking caps to win this game of jeopardy!
Standards:
Favorites
(2)
Resources
(5)
Compositions, Inverses & Role Play: Extending Concepts to Exponential Functions
Algebra II »
Unit: Exponential and Logarithmic Functions
Algebra II »
Unit: Exponential and Logarithmic Functions
Big Idea:
This lesson welcomes the students back from spring break with a transition to inverse functions. The element of “role play” helps to set the stage for the foundation of logarithms
Standards:
Resources
(13)
Reflections
(1)
Test Review
12th Grade Math »
Unit: Basic Functions and Equations
12th Grade Math »
Unit: Basic Functions and Equations
Big Idea:
Students work together to review for the upcoming test.
Standards:
Resources
(3)
Inverse Functions
Algebra II »
Unit: Modeling with Functions
Algebra II »
Unit: Modeling with Functions
Big Idea:
Extend beyond the skill of finding an inverse function to understanding their purpose through real life scenarios.
Standards:
Favorites
(1)
Resources
(24)
Reflections
(1)
Common Core Math
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Kindergarten
First Grade
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HS Number & Quantity
HS Algebra
HS Functions
HS Geometry
Kindergarten
First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Sixth Grade
Seventh Grade
Eighth Grade
Ninth and Tenth Grade
Kindergarten
First grade
Second grade
Third Grade
Fourth grade
Fifth grade
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