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.