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
Determine the tangent line to f ( x ) = 15 - 2x 2   at x = 1. Solution : We know from algebra that to determine the equation of a line we require either two points onto the li

Determine the derivative of the following function by using the definition of the derivative. f ( x ) = 2 x 2 -16x + 35 Solution Thus, all we actually have to do is to pl

Find out some solutions to y′′ - 9 y = 0 Solution  We can find some solutions here simply through inspection. We require functions whose second derivative is 9 times the

economic order quantities (EOQ) Statistics may be utilized in ordering or making economic order quantities as EOQ. It is significant for a business manager to understand that

The actual solution is the specific solution to a differential equation which not only satisfies the differential equation, although also satisfies the specified initial conditions

Q. Find Probabilities for the Standard Normal Distribution? Ans. Suppose the history teacher decides to distribute the final grades of his class with a normal distribution

Solve the following: Line Bearings Distance a. N 15 E 4km b. S 10 E ? c. N 80 W ?

Measures Of Skewness - These are numerical values such assist in evaluating the degree of deviation of a frequency distribution from the general distribution. - Given are t

x 4 - 25 There is no greatest common factor here.  Though, notice that it is the difference of two perfect squares. x 4 - 25 = ( x 2 ) 2   - (5) 2 Thus, we can employ