Function

Function is one of the most important ideas in the world of mathematics.

The main concept of the function is very simple, but I know why everyone has a kind of aversion to it.

The function is a math machine. If we give some input to it, he will cut it out and give us some output. Let's talk about Jhalmudi's uncle. Pie. If you write it neatly, jhalmuri machine (murdi, chanachur, onion, tomato oil, green chilli) = jhalmuri. The job of this machine is to make jhalamuri. Now if anyone gives this machine potato, onion, chilli in the greed of eating blisters, then this machine will work ?? Not at all. This means that this machine will only work if you give all the things you need to make the jhalmuri as input. The domain in jhalmuri machine is murdi, onion, green chilli, cucumber, spices, oil and the range is jhalmuri.

Look again, if we only give input of oil, oil, green pepper, but we will not get anything other than jhalmuri. That means if there is only one output for multiple inputs in a function, it will also be defined. But suppose I have a machine in which I have input. He gave me mango juice as an output but when you put the same mango input in it, he gave you mango output. Would you call it a function ?? Not at all because the speed of this machine is not right. The raft itself does not know when it will give output. This type of machine is of no use.

So a machine will only have a function when it does not cause any confusion. That means there should not be more than one output for the same input. = Abul's height.

The domain of this function is all the people of the world. So the output of this function will always be a positive real number, because height can never be negative. Simply put, a set is made up of all the possible values ​​of a function that can be output. Real numbers. But if we only want to measure the height of the students in our school, it is only possible to get a maximum of 1200 (1200 students) different outputs. This means that the range is the height of these 1200 students. So we can say that range is a subset of codemains. In fact, inside a codemaine, there are mass ranges. When this range and codemaine become equal, we call it the overall function. For example, f (x) = 2x + 1 function for all real values ​​of x. All real numbers are both defined and its range and codeine. So this function is the overall function.

The depth of the function is so vast that explaining its main content in so few words is like making a blister in the function of jhalmuri. Still I have tried to use as few words as possible.