In this mini-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 --
we suggest you to go through the explanation provided in the video above by our
instructor.(Continued below the video - scroll down)
This FREE mini-lesson is a part of Winpossible's online Algebra I course which covers
all topics within Algebra I. Click on the video below to go through it.
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(Continued from above the video). Here are a few high level definitions:
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").
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.
As many of you know, Winpossible's online courses use a unique teaching method where
an instructor explains the concepts in any given area to you in his/her own voice
and handwriting, just like you see your teacher explain things to you on a blackboard
in your classroom. This particular mini-lesson includes the teacher's instruction,
practice questions as well as end-of-lesson quizzes for practice. As we mentioned
above, you can
enroll in our online course in Algebra I by clicking here.
The format of Winpossible's online courses is also very suitable for teachers who
are using an interactive whiteboard such as Smartboard on Promethean in their classrooms,
because the course lessons can be easily displayed on such interactive whiteboards.
Volume pricing is available for schools interested in our online courses. For more
information, please contact us at educators@winpossible.com.
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