- published: 26 Jan 2013
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In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x2. The output of a function f corresponding to an input x is denoted by f(x) (read "f of x"). In this example, if the input is −3, then the output is 9, and we may write f(−3) = 9. Likewise, if the input is 3, then the output is also 9, and we may write f(3) = 9. (The same output may be produced by more than one input, but each input gives only one output.) The input variable(s) are sometimes referred to as the argument(s) of the function.
Functions of various kinds are "the central objects of investigation" in most fields of modern mathematics. There are many ways to describe or represent a function. Some functions may be defined by a formula or algorithm that tells how to compute the output for a given input. Others are given by a picture, called the graph of the function. In science, functions are sometimes defined by a table that gives the outputs for selected inputs. A function could be described implicitly, for example as the inverse to another function or as a solution of a differential equation.
Function may refer to:
Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity (numbers),structure,space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics.
Mathematicians seek out patterns and use them to formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proof. When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity for as far back as written records exist. The research required to solve mathematical problems can take years or even centuries of sustained inquiry.
Rigorous arguments first appeared in Greek mathematics, most notably in Euclid's Elements. Since the pioneering work of Giuseppe Peano (1858–1932), David Hilbert (1862–1943), and others on axiomatic systems in the late 19th century, it has become customary to view mathematical research as establishing truth by rigorous deduction from appropriately chosen axioms and definitions. Mathematics developed at a relatively slow pace until the Renaissance, when mathematical innovations interacting with new scientific discoveries led to a rapid increase in the rate of mathematical discovery that has continued to the present day.
Learn what is function in math - Learn all the concepts of Function in Mathematics. This video will gives you introduction to function in mathematics and boost you up with all the required basics of function of mathematics. You can start wonderful journey of learning Relation and Function from this video onward. Its very easy to understand the definition of function if you already familiar with concept of relation in mathematics. Function are also relation in mathematics, more you can define it as 'special type of relation in which every member of domain of a relation as one and only one unique image in co -domain' Such relations are called function. If you need concept of domain from our day to day life, then function cab be defined as a machine, where we input our raw material and we ge...
IIT JEE Main and Advanced Mathematics Video Lectures and Study Material developed by highly experienced and dedicated faculty team of Rao IIT Academy. Visit http://www.raoiit.com or email studentcare@raoiit.com for any query or doubt related to your IIT JEE Preparation. Want to be the Topper ??? Learn Function One One, Onto from Rao IIT Academy. Prepare for your Boards and New IIT-JEE Pattern - JEE Main and JEE Advanced / MH-CET / BITSAT / VIT / SRM / Manipal and other Competitive Exams with Rao IIT Academy. ...................................... Subscribe to Rao IIT Academy YouTube channel - http://www.youtube.com/RaoIITAcademy Like us on Facebook - https://www.facebook.com/Raoiit Follow us on Twitter - https://twitter.com/rao_iit +1 on Google Plus - https://plus.google.com/+Raoiit Call...
An overview of functions in general. This lecture made to help students taking SAT Subject Test in Mathematics Level 2. Functions in general is also related to Pre-Calculus and Algebra 2. -AMC STUDY KOREA- [www.amcstudy.net]
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Let's Learn What is Signum Function in the chapter of Relation and Function. Signum function is defined from real numbers to real numbers. The domain of the signum function is mathematics is complete real numbers but range of the function restricts only in 3 results : (-1,0,1). And there are condition when the range is -1, when 0 or when 1. Mathematicians defines Signum function like F(x) = IxI/x where x never be 0, and x = real number. For the detail information graph of the signum function, please watch the video. Watch more videos on Signum Function and other function at - http://itsmyacademy.com Connect with me on facebook - http://facebook.com/ItsMyAcademy Connect with me on Twitter - http://twitter.com/ItsMyAcademy
Topics: Domain, Codomain, Range, Trignometric Functions Mathematics, Class XII, Functions Visit us at Get Full Course To Study Offline Through our website: http://www.m-learning.in Call Us at : (+91)9826023696, (+91) 0731-2495865. Mail us at :info@m-learning.in Amazon: http://www.amazon.in/s/ref=lp_5490084031_nr_p_6_3?fst=as%3Aoff&rh;=n%3A976451031%2Cn%3A%21976452031%2Cn%3A5490084031%2Cp_6%3AA1EOND4VIENEBN&bbn;=5490084031&ie;=UTF8&qid;=1434442994&rnid;=1318474031 FlipKart: http://www.flipkart.com/computers/software/educational-media/pr?p%5B%5D=facets.brand%255B%255D%3DM%2BLearning&sid;=6bo%2C5hp%2Cvxa&ref;=78975f83-7d57-49f5-8cd3-452e26ba85bc Snapdeal: http://www.snapdeal.com/brand/m-learning?pageType=brandStore For More Information Download Study material from : http://www.m-learning...
This lesson describes the definition of a function as well as some basics with domain and range. Several examples are presented.
How to describe a function? You can describe a function in words, as a graph, a table and a formula. You will learn the advantages and disadvantages of each method. This video is part of the edX course: pre-university Calculus (Calc001x)
In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x2.
A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape.
How does changing values in an absolute value function affect its graph?
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This video is simply for a math project. That is all, really.
Subscribe for new videos: www.youtube.com/channel/UCIWCSw8jNs9SPetsVPo1WQQ Share this video: https://youtu.be/jnAuwbObs-I The problem: Find the domain and range of the relation: (-2,6),(-2,5),(-2,4),(-2,3). Then determine whether the relation is a function. The solution: Domain={-2} Range={3, 4, 5, 6} It is not a function.
Download the Show Notes: http://www.mindset.co.za/learn/sites/files/LXL2013/LXL_Gr12Mathematics_11_Functions%20&%20Graphs_22Apr.pdf In this live Grade 12 Maths shhow we take a close look at Functions & Graphs (Logs & Inverses). In this lesson we revise exponential functions from Grade 11, define the inverse of an exponential function as well as look at exam type questions. Visit the Learn Xtra Website: http://www.learnxtra.co.za View the Learn Xtra Live Schedule: http://www.learnxtra.co.za/live Join us on Facebook: http://www.facebook.com/learnxtra Follow us on Twitter: http://twitter.com/learnxtra ( E00197741 )
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This lesson includes the basics of graphing the parabola. If you want to make it confusing, you can call it "Quadratic Functions". Whatev floats your boat. We cover how to find the vertex, axis of symmetry, and the coefficients a, b, and c. Enjoy the music in this one, YAY MATH! Visit yaymath.org Videos copyright (c) Yay Math
IIT JEE Main and Advanced Mathematics Video Lectures and Study Material developed by highly experienced and dedicated faculty team of Rao IIT Academy. Visit http://www.raoiit.com or email studentcare@raoiit.com for any query or doubt related to your IIT JEE Preparation. Want to be the Topper ??? Learn Basic Mathematics (Modulus Function Part 1) from Rao IIT Academy. Prepare for your Boards and New IIT-JEE Pattern - JEE Main and JEE Advanced / MH-CET / BITSAT / VIT / SRM / Manipal and other Competitive Exams with Rao IIT Academy. ...................................... Subscribe to Rao IIT Academy YouTube channel - http://www.youtube.com/RaoIITAcademy Like us on Facebook - https://www.facebook.com/Raoiit Follow us on Twitter - https://twitter.com/rao_iit +1 on Google Plus - https://plus.go...
IIT JEE Main and Advanced Mathematics Video Lectures and Study Material developed by highly experienced and dedicated faculty team of Rao IIT Academy. Visit http://www.raoiit.com or email studentcare@raoiit.com for any query or doubt related to your IIT JEE Preparation. Want to be the Topper ??? Learn Functions Range from Rao IIT Academy. Prepare for your Boards and New IIT-JEE Pattern - JEE Main and JEE Advanced / MH-CET / BITSAT / VIT / SRM / Manipal and other Competitive Exams with Rao IIT Academy. ...................................... Subscribe to Rao IIT Academy YouTube channel - http://www.youtube.com/RaoIITAcademy Like us on Facebook - https://www.facebook.com/Raoiit Follow us on Twitter - https://twitter.com/rao_iit +1 on Google Plus - https://plus.google.com/+Raoiit Call us on:...