The idea of action is a very important part of Calculus because of its close links with various phenomena of reality. Before going through the formal definition of function, it is better to leave it through some illustrated examples.
Suppose a particle moves at a uniform rate of 3 km per hour. If S represents the distance in kilometers and T time in hours, S = distance in T h = 3T
When T = 0 hours, S = 0 km
When T = 1 hour, S = 3 km
When T = 2 times, S = 6 km
When T = 1/3 hours, S = 1 km.
It is clear that when T changes, S changes and corresponding to each non negative value of T, there will be only one value of S. In this situation, we say that S is a function of T. Here, T is independently variable of the set of positive real numbers because T may be any arbitrary non-negative real number. S is the dependent variable whose value depends on the value of T. This also varies over the set of positive real numbers. We will call the set of the independent variable T dynamic domain name and set of the s dynamic range of functionality. Here domain and range are both active set of positive real numbers
Now we come to the formal definition of activities -. Let A and B be two non-empty sets, then normally ‘f’ that connects to each section A with unique element B is called mapping or function of A to B. If f is a mapping from A to B we write f: A → B (read as f is a mapping from A to B). If f associates x D “A to y Ð” B, we say that y is a form of the element x under the map f and represent it with f (x) and we write y = f (x). The element x is called as pre-image or a negative image y.
active in calculus is one of the radicals in the math test. If you are facing problems understanding these issues then do not get nervous. It is one of the common challenges faced by many students these days. You just need the help of experts a calculus teacher who can guide you through the concepts. Spend some time online and find a proper calculus teacher in your district to get the plaque fears.