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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.

- 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<sup>3</sup> or f(x) = (x+1)/(xâ1) for x â 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.

Fun with Functions: Basic Inverse and Function Operations

12th Grade Math

Â» 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.

Jeopardy: Basic Functions

12th Grade Math

Â» 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!

Compositions, Inverses & Role Play: Extending Concepts to Exponential Functions

Algebra II

Â» 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 ârole playâ helps to set the stage for the foundation of logarithms

Test Review

12th Grade Math

Â» Unit:

Basic Functions and Equations

Big Idea:Students work together to review for the upcoming test.

Inverse Functions

Algebra II

Â» Unit:

Modeling with Functions

Big Idea:Extend beyond the skill of finding an inverse function to understanding their purpose through real life scenarios.

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)/(xâ1) for x â 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.