TCA名师讲堂|经济学博士带你了解函数

Maths is not only the foundation of the natural sciences, social sciences, and humanities, but also an integral part of our daily lives, through which we can better understand the world, solve problems, and improve ourselves. Today, let"s learn how Dr. G., who teaches maths at TCA, leads the study of functions.数学不仅是自然科学、社会科学和人文科学的基础更是日常生活中不可或缺的一部分，通过数学学习，我们可以更好地理解世界、解决问题并不断提升自我。今天，让我们来看看TCA执教数学课程的G博士带领大家如何学习函数的。Introduction to FunctionsWhat is a function?A function is a combination of one or more mathematical operations that takes a set of numbers and changes them into another set of numbers.It may be thought of as a mathematical “machine”.“For example, if the function (rule) is “double the number and add 1”, the two mathematical operations are "multiply by 2 (×2)" and "add 1 (+1)" Putting 3 into the function would give 2 × 3 + 1 = 7Putting -4 in would give 2 × (-4) + 1 = -7Putting  in would giveThe number being put into the function is often called the input.The number coming out of the function is often called the output.Worked exampleA function is defined as1. FindThe input is , so substitute 7 into the expression everywhere you see an x.Calculate2. FindThe input is , so substitute  into the expression everywhere you see an .Calculate

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