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4.08 Inverse functions

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Outcomes

A2.F.2

The student will investigate and analyze characteristics of square root, cube root, rational, polynomial, exponential, logarithmic, and piecewise-defined functions algebraically and graphically.

A2.F.2i

Determine the inverse of a function algebraically and graphically, given the equation of a linear or quadratic function (linear, quadratic, and square root). Justify and explain why two functions are inverses of each other.

A2.F.2j

Graph the inverse of a function as a reflection over the line y = x.

A2.F.2k

Determine the composition of two functions algebraically and graphically.

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