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Функция

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математика

алгебра

аргумент

парабола

видеоурок

матанализ

Что такое функция

Что такое производная функции

график функции

касательная

секущая

function

math

algebra

argument

ЕГЭ

ГИА

подготовка к экзаменам

видео по математике

функция

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видеоурокипоматематике

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функциявматематике

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hello friend, if you want to understand what a

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function is in mathematics, you are doing the right thing by

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watching this video, here I

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will tell you the functions using live examples

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on your fingers without boring formulas and cramming,

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in fact, a function is not some kind of

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invention of smart mathematicians in glasses,

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but quite It’s a practical thing that functions

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live around us and we come across them every day,

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but we just don’t

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suspect it, so anyone, even the most

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ordinary guy, can understand what a

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function is without any problems. Well, let’s take

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some kind of

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life, a different situation, imagine that you and your

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friends are going to relax over in a city

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in nature, you are the only one who has

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transport,

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you are driving and you can take one of your friends

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with you, you are a rich guy and you have a

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choice of a motorcycle, a

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car and a minibus, if

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you go on a motorcycle, then you can

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take only one friend, a motorcycle

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double if you go by car

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you will take four friends and on

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a minibus you will be accompanied by h8

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people, in other words there is one

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value this is the number of passenger seats in the

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vehicle that is how many

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friends you can take and another

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value is the total capacity of this

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vehicle

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let's draw it this is a motorcycle it is

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double

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number of passengers one is a

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car, it has 5 seats,

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four of them are passenger, this is

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a minibus with a

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total of 9 seats, one at the wheel and eight

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passengers,

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if we draw a line through these three points, we

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will get the following relationship, it

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shows how these two quantities are related to each other, the

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total number of seats and the number of passenger

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seats in transport, a

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relationship that shows how one

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quantity is related to another quantity is

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called a function; any function is a

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relationship between quantities, and such a

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line is called a graph of a function; it

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can be of any shape, including

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curves; functions can be increasing

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and decreasing for increasing functions 2 the

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value increases along with 1 1

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increases and 2 the graph of the

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function increases and goes up and for

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decreasing functions 2 the value decreases

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with increasing 1 the graph of the function

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goes down and there may be mixed

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functions, this is when 2 the value sometimes

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increases and sometimes happens depending on the

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values of the first value, you can

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set a function;

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you can not only draw it in the form of a

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graph, but also write it in the form of a table like

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this, for example, here each value of the

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first value corresponds to its own

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value; 2 values; if we have a

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graph, we can always write the points from the

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graph into a table and vice versa, using a table you

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can always easily build a graph, and the

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function can also be written as a

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formula, this is the most convenient and compact

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way, for example, in our case, the number of

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passenger seats is always one

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less than the total capacity

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because one seat is always occupied by

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the driver, so the formula for our

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function is the method this type, in order to find

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the number of passenger seats, you need to

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subtract one from the total capacity so as not to

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describe the values in words, you can

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designate them with letters, one designate x

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and the second y It’s more convenient, really, why

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waste words in vain, the result

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is a brief and compact notation

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that is usually found in textbooks

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on in mathematics the

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letter y is the name of the function and xj in order to

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emphasize that the function depends on the

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argument, on the contrary, after the name of

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the function in parentheses it indicates and and the argument

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y from x does

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not indicate any special actions x in parentheses

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it simply says that the

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value of y depends on x

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if we change x will then change and y,

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and it is not at all necessary

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to use the letters y and x,

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the function can be written in other letters,

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for example f from x or for this x or z from y, you

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can use any letters what other

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examples of the function can be given, there are a

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huge number of them, for example, everything is

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probably when we were little we made

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marks of our height on the door frame

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or wall at 3 years old

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Sashenka was this height and at five years old

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he had already grown up so well he

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ate porridge well at 12 years old he was already just a

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hero man already staring at girls

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in the end we have two connected

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values

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height and age changes age changes

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and height

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age tx and height is y height is a

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function of age or for example the price of

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gold strongly depends on its fineness

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the higher the content of pure gold the more

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expensive the product is this is also a function the

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speed of the bicycle is a function of the

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speed of pedaling the faster

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pedal

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the industry brooms or the more you eat, the

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less you like the girl,

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this is the same function and so on and so

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forth there are millions of examples of this, the most

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important thing to remember is the function is the

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relationship between quantities and the given

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function can be in different forms of

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graphs, tables or formulas

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in the following video I I’ll tell you what it is

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about a

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summary function. To understand what a

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function is and not know anything about the

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derivative

00:06:41

is a crime, it needs to be corrected urgently.

Description:

Доступно о том, что такое функция в математике В этом видеоуроке мы просто и понятно, с использованием графических иллюстраций и на наглядных жизненных примерах расскажем, что такое функция, что такое ее аргумент, какие бывают функции (возрастающие, убывающие, смешанные), как можно задать функцию (с помощью графика, таблицы, формулы). Вы увидите, что зависимость, которая показывает, как одна величина связана с другой величиной, называется функцией. Любая функция - это связь между величинами. График функции может быть любой формы, в том числе кривой. Мы коснемся вопроса обозначения функций, вы узнаете, что функция это вполне себе жизненная и практическая вещь, что функции живут вокруг нас и мы каждый день с ними сталкиваемся, но просто об этом не подозреваем. Мы покажем вам различные живые примеры функций, на пальцах, без скучных формул и зубрежки (например, функции вместительности транспортного средства, зависимости роста от возраста человека, цены золота, скорости движения велосипеда и другие).

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