Functions, Graphs, and Algebraic Maxima & Minima for CAT Prep

Mastering functions and graphs is one of the most effective ways to boost your quantitative score in competitive exams like the CAT. Understanding how algebraic expressions behave visually allows you to solve complex equations quickly and intuitively. This text-only course guides you from foundational algebra concepts to advanced graphical analysis and optimization techniques. You will learn to recognize patterns, analyze function properties, and find maximum and minimum values without relying on tedious calculations. What you'll learn: - Understand the core definitions of functions, domains, codomains, and ranges. - Plot and interpret fundamental graphs, including linear, quadratic, polynomial, and rational functions. - Apply graph transformations such as shifting, scaling, and reflecting to quickly visualize complex equations. - Master algebraic techniques to find maxima and minima, including the AM-GM inequality and quadratic properties. - Solve optimization problems efficiently using both algebraic and graphical methods. - Practice structured problem-solving strategies tailored for high-stakes quantitative aptitude tests. The course starts with essential terminology and the basics of functions before progressing to graph plotting, transformations, and optimization theory, concluding with practical exam-style exercises. It is designed for aspirants preparing for competitive management entrance exams who want to build a rock-solid foundation in algebra, with no advanced mathematical background required. Start reading today to sharpen your quantitative skills and master algebraic optimization.