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...)
Other useful lessons:
 Types of functions One to many relationship Finding the domain of function Finding the domain and range of the functions Identify if the graph is a function or not Finding the domain and range of an equation Determine domain and range from a finite set of ordered pairs
(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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