In the previous post we have discussed about What are Binary Numbers and In today's session we are going to discuss about How to Understand Functions. The concept of functions is of paramount importance in mathematics and among other disciplines as well. Functions are the relation between the set of inputs and the set of possible outputs that a follow a property i. e. each input is associated definitely with one output. (know more about Function, here)
A function 'f' from a set P to a set Q associates each element of set P to a unique element of set Q.
Terms such as “map” (or “mapping”) correspondence used as synonyms for “function”. If f is a function from a set P to a set Q, then we write f: P → Q or P → Q, which is read as f is a function from P to Q or f maps P to Q.
We use some standard real function such as constant, identity, modulus, greatest integer, smallest integer function and many more. We can also perform many operations on the above function like addition, product, subtraction, quotient etc.
There are some types of function are defined in calculus.
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A function 'f' from a set P to a set Q associates each element of set P to a unique element of set Q.
Terms such as “map” (or “mapping”) correspondence used as synonyms for “function”. If f is a function from a set P to a set Q, then we write f: P → Q or P → Q, which is read as f is a function from P to Q or f maps P to Q.
We use some standard real function such as constant, identity, modulus, greatest integer, smallest integer function and many more. We can also perform many operations on the above function like addition, product, subtraction, quotient etc.
There are some types of function are defined in calculus.
I. One -one function: - It is also known as injection function. If different items of P have different images in Q, then it is said to be one-one function.
II. Many-one function:- If two or more items of a set P have the same image In Q, then it is said to be many-one function.
III. Onto function: - It is also known as surjection function. If every element of Q is the F-image of some element of P, then it is said to be onto function.
IV. One-one onto function: - It is also known as bijection function. If it is one-one as well as onto, then it is said to be one-one onto function.
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