One-to-one function, Algebra

A function is called one-to-one if no two values of x produce the same y. It is a fairly simple definition of one-to-one although it takes an instance of a function which isn't one-to-one to illustrate just what it means.  However Before doing that we have to note that this definition of one-to-one is not actually the mathematically correct definition of one-to-one.  This is similar to the mathematically correct definition it just doesn't employ the entire notation from the formal definition.

Now, let's look at an example of a function which isn't one-to-one.  The function f ( x )= x2  is not one-to-one since both f ( -2) = 4 and f ( 2) = 4 .  In other terms there are two distinct values of x which produce the similar value of y. Note that we can turn f ( x ) = x2  into a one-to-one function if we limit ourselves to 0 ≤ x <∞ .  Sometimes it can be done with functions.

Illustrating that a function is one-to-one is frequently a tedious and often difficult.  For the most of the part we are going to suppose that the functions which we're going to be dealing along with in this section are one- to-one. We did have to talk regarding one-to-one functions though since only one-to-one functions can be inverse functions.

Posted Date: 4/8/2013 1:21:20 AM | Location : United States







Related Discussions:- One-to-one function, Assignment Help, Ask Question on One-to-one function, Get Answer, Expert's Help, One-to-one function Discussions

Write discussion on One-to-one function
Your posts are moderated
Related Questions

the student enrollment at a university is 25,300 is expected to increase by 2% next year. what will the enrollment be then?



Properties of f( x ) = b x 1. The graph of f( x ) will always have the point (0,1).  Or put another way, f(0) = 1 in spite of of the value of b. 2. For every possible b b x



if A is an ideal and phi is onto S,then phi(A)is an ideal.

Sabrina invested 1500000 in stocks and bonds.Her investment in bonds in 5000 more than half her investment in stocks.How much did she invest in each ?

Solve following equations.                           1/(x+1) = 1-   (5/2x - 4) Solution Just like along with the linear equations the primary thing which we're going to