Keyword: «linear transformations»

The article contains a brief presentation of theoretical information in the field of functional dependence of elementary functions. Practical methods that allow you to draw sketches of functions’ curves of different complexity levels are demonstrated here. In particular, the plotting of functions’curves containing modulus usually causes considerable difficulties for university entrants and first-year students. The purpose of this work is to give algorithm for plotting curves of functions containing moduli to which linear transformations are applied. The main attention is paid to the methods of plotting, and not to the study of certain types of functions.

The article proposes a method of presenting the topic “Constructing graphs of multivalued linear functions containing a modulus sign” in the course “Mathematical Analysis”. A brief theoretical information in the field of functional dependence of multivalued linear functions is given. The authors demonstrate practical methods to build the sketches of functions graphs with different levels of complexity. The purpose of this work is to give an algorithm for constructing graphs of multivalued functions, containing a modulus sign, to which linear transformations are applied. The content of the article will be useful for students, as well as for teachers working with the first-year students.