Mathematics. Grades 9-11. Practical exam preparation. Part 3

The manual provides theoretical information and basic approaches to solving a wide range of problems involving powers and logarithms, includes tasks for calculation, transformation, comparison, and proof. It contains problems for studying functions and graphing, finding the maximum and minimum values of expressions both using derivatives and without their use. Solving equations and inequalities is demonstrated using traditional methods as well as properties of functions. The material of the manual is presented in accessible language, from simple to complex, and includes tasks of different levels - from basic and key to competitive and Olympiad tasks. Tasks for independent solving are provided with answers and solution hints. The manual is aimed at a wide range of readers: high school students, applicants, preparatory course students, university students, mathematics teachers. It is useful for organizing independent preparation for the Unified State Exam (EGE) and additional entrance exams.