After touching on the linearization of logarithmic data in "Exploring Logarithmic Models", students return to Exponential and Quadratic models and explore what it would take to linearizing them. This introduces the concept of inverse functions, and should be able to address most of the following standards:
HSF.BF.B.4.A - 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.
HSF.BF.B.4.B - Verify by composition that one function is the inverse of another.
HSF.BF.B.4.C - Read values of an inverse function from a graph or a table, given that the function has an inverse.
HSF.BF.B.4.D - Produce an invertible function from a non-invertible function by restricting the domain.
After touching on the linearization of logarithmic data in "Exploring Logarithmic Models", students return to Exponential and Quadratic models and explore what it would take to linearizing them. This introduces the concept of inverse functions, and should be able to address most of the following standards:
HSF.BF.B.4.A - 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. HSF.BF.B.4.B - Verify by composition that one function is the inverse of another. HSF.BF.B.4.C - Read values of an inverse function from a graph or a table, given that the function has an inverse. HSF.BF.B.4.D - Produce an invertible function from a non-invertible function by restricting the domain.