One-to-one function, Mathematics

Assignment Help:

One-to-one function: A function is called one-to-one if not any two values of x produce the same y.  Mathematically specking, this is the same as saying,

 f ( x1 ) ≠ f ( x2 )

whenever  x1 ≠ x2

Thus, a function is one-to-one if whenever we plug distinct values into the function we get different function values. Sometimes it is simpler to understand this definition if we illustrates a function that isn't one-to-one.

 Let's take a look at 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 different values of x that generate the same value of y.  Note down that we can turn f ( x ) = x2  into a one-to-one function if we limit ourselves to 0 ≤ x <∞ .  It can sometimes be done with functions.

Illustrating that a function is one-to-one is frequently tedious and/or difficult.  For the most part we are going to suppose that the functions which we're going to be dealing with in this course are either one-to-one or we have limited the domain of the function to get it to be a one-to-one function.

Now, let's formally define just what inverse functions are.


Related Discussions:- One-to-one function

Find the discount factors -linear interpolation, Find the discount factors ...

Find the discount factors -Linear interpolation: All rates should be calculated to 3 decimal places in % (e.g. 1.234%), the discount factors to 5 decimal places (e.g. 0.98765

Differential calculus finding limits, how can i evaluate this lim of x as x...

how can i evaluate this lim of x as x approaches to a

Implementation of kruskal algorithm, You are required to implement Kruskal'...

You are required to implement Kruskal's algorithm for finding a Minimum Spanning Tree of Graph.  This will require implementing : A Graph Data Type (including a display meth

Differential equations, Find the normalized differential equation which has...

Find the normalized differential equation which has {x, xex} as its fundamental set

Formulas of surface area - applications of integrals, Formulas of Surface A...

Formulas of Surface Area - Applications of integrals S = ∫ 2Πyds          rotation about x-axis S = ∫ 2Πxds          rotation about y-axis Where, ds = √ 1 + (1+ (dy /

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd