functions summary

Summary - A function is a relation on A x B is which A function is a relation on A x B is which (i) no two second elements have a common first element. (ii) every first element has a corresponding second element. Every function is either one-one onto or one-o..

The relation should be one-one or many-one, and Every first element is mapped which means that every pre-image should have an imag..

>Relation from a set A to a set B is a subset of A x B. - A relation R on a set A is reflexive if a R a, " a A- A relation R on a set A is symmetric if a R b b R a. - A relation R on a set A transitive if a R b and b R c a R c. A relation R is said to be an equivalence relation on A if it is reflex..

Every polynomial is continuous. Every rational function is continuou..

Cell is the structural and functional unit of the organism. Water is the principal constituent of plants and is essential for the maintenance of life, growth and developmen..

A function is a relation on A x B is which (i) no two second elements have a common first element. (ii) every first element has a corresponding second element...

The molecular mechanism by which a gene shows to potential in the phenotype of an organism, is called gene expression. Every gene contains the blue print required for the function of a given polypeptide, in the form of a specific sequence of nucleotide..

Alcohols and Phenols are compounds containing -OH as the functional groups. In alcohols, the -OH group is attached to sp 3 hybridised carbon. In phenols, it is attached to sp 2 hybridised carbon of an aromatic ring. In ethers, oxygen atom is attached to two carbons atoms by two se..

Let X be a set of numbers and f : N n --> X be a function, then the ordered set {f(1), f(2),...., f(n)} is called a finite sequence in X...

Angiosperms represent the most advanced group of plants. The angiosperm plant body consists of an underground root system and an aerial shoot system. The shoot system contains vegetative parts and reproductive parts. The root serves two primary functions anchoring and absorption. ..