solved examples of one to one functions

There is one-one correspondence between the elements of the set A and the set B..

A function which is not 1-1..

Function Solved Examples - The arrow diagram represents a relation from set A to set B. (i) Represent the relation in roster form. (ii) Is this relation a function? Give reason for your answer. (i) {(1, 2), (2, 4), (5, 2), (3, 10), (4, 10)} (ii) Yes..

A function f : A g B is called a 1-1 mapping, if every element of f(A) does not have more than one pre-image. ..

There is many-one correspondence between the elements of the set A and the set B..

When a molecule contains more than one similar functional groups, then, the word di (for 2), tri (for 3), etc., is added before the secondary suffix, of the functional group. While adding such words, the vowel 'e' of primary suffix is retained. For example: H..

When the molecule contains two or more dissimilar functional groups, the parent chain is so chosen so as to contain maximum possible number of functional groups. The numbering of the parent chain is done so that the functional group of higher priority gets the lower nu..

Use horizontal line test to determine whether the graph of the function represents a one-to-one function. => Yes or No..

We thus observe, without actually solving the quadratic equation (a) We can find the value of every symmetric function involving the roots of the equation in terms of the coefficients of the equation. (b) We can find a quadratic equation whose roots are any one of the ..

We have discussed earlier about right hand limit and left hand limit. Both these limits are called one sided limits. x approaches a from the right side and through values greater than a. For a function f(x), we say as left hand Limit, as x approaches a from the left and thr..