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Functions, Relations and Transformation of Graphs - Part One

Description: There are about 10 hours of video tutorial recorded on 6 videos in first part of this chapter. In addition of reasonable volume of theoretical interpretation, there are plenty questions developed and worked out, every step, on white board by Maths Tutor with long experience in teaching high school mathematics. All questions were created on a such way that helps students in deeper understanding of topic on an easier way, as well, in finding answers on their commonly asked questions, past tests, SAC’s and exams questions. Furthermore, the questions are very suitable for practicing algebra, application of mathematical theory and development of mathematical concepts and all this with strong focus on tests and exam requirements. Commonly made examination mistakes by students, and advice how to avoid them, is given on a wide range of questions making lessons of this chapter an excellent resource not only to gain deep understanding of the chapter, but also to prepare for final exam.

In this part of the chapter, students can study and practice with Video Maths Tutor and his concise explanation of the following topics and concepts:

To understand the difference between function and relation as well one-to-one and many-to-one functions.

Domain and range of a function and, especially, how to find maximal (implied) domain for different types of functions.

Inverse function and key concepts in solving questions involving inverse functions.

Transformations of graphs and how to apply standard formula for transformation, as well addition of ordinates as a special method of transformation and sketching graphs.

Detailed analyses and steps to sketch graphs by transformation method of the following functions: parabola, cubic function, quartic function, hyperbola, truncus, square root function as well circle and semicircle.

About 90 study and exam style questions to practice the above topics and concepts.

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