Theory of iterations and monounary algebra in hight school

Abstract

In this article we were concentrated on the possibilities of iteration theory usage in the theory of monounary algebras. We studied especially two-parameter family of quadratic function f(x,t,s) = f(x+t)2 +s, among others because of the importance of quadratic functions in school mathematics and significance of simple non-linear models. We were thinking about the description of blocks of conjugated functions.

Keywords

• iteration theory
• mono-unary algebra
• quadratics functions