Algebra I: Getting started - Function
This is a free lesson from our course in Algebra I
 
   
In this lesson, you'll learn what are functions and understand concepts such as relation, notation, domain and range of a function. Some of the high level definitions of these concepts are being mentioned below.
They are as follows:
  • a function is a relation between two sets of values, where the second value (the "output") is uniquely determined by the first value (the  "input"). (More text below video...)
<h2> Getting started - Function - Watch video (Algebra I)</h2> <p> function, video, relation, range, formula, example, graph, domain, video, sets, value, ordered, pairs, online algebra, real number, quantity, practice questions, quizzes, solution</p> <p> you will learn what are functions and understand concepts such as relation, notation, domain and range of a function.</p>
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(Continued from above)
   • a relation is a collection of ordered pairs. If the pair has real numbers, e.g. (5, 2), then the relation may be graphed on a pair of coordinate axis and they may satisfy a formula. For example, Set A is all the people in a class and Set B is their height. The pairing of names with corrosponding height is a relation.
   • if every element of Set A has a unique image in a Set B, then it is a function. E.g., y = f(x) = x2 + 2, means for every value of x we get a unique value of f(x). If y is completely determined by a quantity x, then y is the function of x, denoted by f(x). For example, the area of a circle with radius r is denoted by f(x) =  r2.
   • domain is all the possible values of x and the range is all the resulting possible values of y.
   • a mapping, f: A —> B in which each element of set A is the image of at least one element in set B.
We suggest you to go through the explanation provided in the video above by our instructor.
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