Functions , Mathematics

For the layman, a "function" indicates a relationship among objects. A function provides a model to describe a system. Economists refer to demand functions which refer to the sales volume of an item as a function of the item's price. Similarily, economists refer to supply function which considers production volume of an item as a function of the prevailing/projected price of the item.

A function expresses the relationship of one variable or a group of variables (called the Domain) with another variable (called the Range) by associating every member in the domain with a unique member in the range. 

Suppose X represents the "price of a good" and Y the "demand". We may postulate that Y is related to X in the sense that if we fix the price of the good, then we will be able to determine the demand. We say that Y is a function of X since we are able to compute a unique value of Y for a given value of X. We may represent the relationship as y = f(x), where f represents the relationship. It is important to note that it may be the case, though it is not necessary, that the relationship is a causal one, that is, X is the cause and Y is the effect. When the relationship is causal, we may regard X as the independent variable and Y as the dependent variable.


y = f(x) = 2 - 3x,

y = g(x) = 2x2 - x + 100

are examples of functions. But

                   y2 = x

is not a function of X since the rule that a given value of X should yield a unique value of Y is violated. (Verify for X = 4.)

Functions can be expressed algebraically (as in y = 2x - 3) or graphically or in a tabular form.


Suppose we play a game involving the toss of two fair coins. And for every Head that turns up, you win Re.1 and for every Tail that turns up, you lose Re.1

Let D = {TT, HT, HH} and R = {-2, 0, 2}

Then the game may be represented by the function

R = f(D)

where f(TT) = -2, f(HT) = 0 and f(HH) = 2

Posted Date: 9/13/2012 5:48:07 AM | Location : United States

Related Discussions:- Functions , Assignment Help, Ask Question on Functions , Get Answer, Expert's Help, Functions Discussions

Write discussion on Functions
Your posts are moderated
Related Questions
Raul's bedroom is 4 yards long. How many inches long is the bedroom? There are 36 inches within a yard; 4 × 36 = 144 inches. There are 144 inches in 4 yards.

Reduction formulae Script for Introduction: First let us know what is meant by reduction formula. In simple words,                 A formula which expressess(or re

find area of rectangles and triangles put together


I had just come back from a very interesting talk arranged by a Mathematics Centre, it was aimed at parents of primary school-going children. They had talked about, and demonstrate

DEVELOPING AN UNDERSTANIDNG OF MULTIPLICATION :  The most important aspect of knowing multiplication is to understand what it means and where it is applied. It needs to be first i

is 1/6 same as six times less

Dot Product- Vector The other topic for discussion is that of the dot product.  Let us jump right into the definition of dot product. There is given that the two vectors a

what is 1/5 + 1/8 equals?

The Addition Rule: Mutually Exclusive Events P(A or B or C) = P(A) + P(B) + P(C) This can be represented by the Venn diagram as follows: