solve functions defined on sets

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..

Solving functions means finding the value of the variable for which the given function is satisfied. Functions can be of different degree..

Let A and B be two non-empty sets.Let A and B be two non-empty sets. A function f from A to B is an association of every element of A to an unique element in B. We write this as f : A g B. A is called the domain. B is called the co-doma..

Graphical Method of Solution of a Linear Programming Problem - So far we have learnt how to construct a mathematical model for a linear programming problem. If we can find the values of the decision variables x 1 , x 2 , x 3 , ..... x n , which can optimise (maximize or minimize) the objective ..

Choose the function whose domain is the set of all reals except 0. => y = e x + | x | or y = cos x or y = - 1 x or y = | x |..

Summary Relations and Functions - A pair of objects, written in a specified order is called an ordered pair . A pair of objects, written in a specified order is called an ordered pair . For the ordered pair (a,b), a is called the first element and b, the second element. The ordered pairs ..

A relation R is a non-empty sub-set of a cartesian product. A relation is a set of ordered pairs, i.e., R A x B where A and B are two non-empty sets. Domain of a relation is the set of all first components. Range of a relation is th..

A real valued function f : A to B or simply a real function 'f ' is a rule which associates to each possible real number x A, a unique real number f(x) B, when A and B are subsets of R, the set of real numbers. In other words, functions whose domain and co-d..

The functions of the form y= log b x where b > 0 and b ≠ 1 is known as logarithmic functions. It should be noted that y= log b x is the inverse function of y=b x where b > 0 and b ≠ 1. And in particular when b = e. Since the exponential func..

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 following ..