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.4c
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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.4c
(+) Read values of an inverse function from a graph or a table, given that the function has an inverse.
8 Lesson(s)
Finding the Inverse of a Function Day 1 of 2
12th Grade Math »
Unit: Functions and Piecewise Functions
12th Grade Math »
Unit: Functions and Piecewise Functions
Big Idea:
By reading and discussing a mathematical text, a process for finding inverses will be uncovered.
Standards:
Favorites
(8)
Resources
(29)
Reflections
(3)
Inundated with Inverses: Restricting the Range of an Inverse (Day 1 of 2)
12th Grade Math »
Unit: Basic Functions and Equations
12th Grade Math »
Unit: Basic Functions and Equations
Big Idea:
Working with a team, students fold paper to find the inverse of functions they already know and then learn to restrict the range of these inverses to make them functions.
Standards:
Favorites
(7)
Resources
(19)
Review Day
12th Grade Math »
Unit: Basic Functions and Equations
12th Grade Math »
Unit: Basic Functions and Equations
Big Idea:
This lesson, driven by a 3-2-1 assessment, helps students to review past learning and continue to make new connections.
Standards:
Favorites
(3)
Resources
(14)
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)
Graphing and Shifting Logs
12th Grade Math »
Unit: Logarithmic Functions and Equations
12th Grade Math »
Unit: Logarithmic Functions and Equations
Big Idea:
Shifty functions again... Now they are just logs! Students apply prior knowledge of parameter changes on functions to logs.
Standards:
Favorites
(5)
Resources
(14)
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: Rational and Inverse Functions
Algebra II »
Unit: Rational and Inverse Functions
Big Idea:
A function performs a series of operations on the input to produce and output; an inverse function undoes all of these operations in the reverse order they were performed.
Standards:
Favorites
(3)
Resources
(13)
Reflections
(1)
Quiz and Intro to Inverse Functions
Algebra II »
Unit: Rational and Inverse Functions
Algebra II »
Unit: Rational and Inverse Functions
Big Idea:
Working with rational functions is just like working with fractions. Today's quiz will assess your ability to work with rational expressions and equations.
Standards:
Favorites
(3)
Resources
(11)
Reflections
(1)
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