This is a free lesson from our course in Algebra I
In this lesson, you'll learn how relations can have one to many mapping. You'll also learn how to determine whether two
sets of points have one to one mapping or many to one. As you might
already know, the points with same values of y for different values of x
have many to one mapping. For example, {(0, 5), (1, 5), (2, 5), (3, 5), (4, 5)}
has many to one mapping. However, if in a set of points each x has a unique
y for it, then it's a case of one to one mapping. A function which may (but does not necessarily) associate a given member of the range of with more than one member of the domain. (More text below video...)
People who saw this lesson also found the following lessons useful:
(Continued from above) For example, trigonometric functions such as sin x are many-to-one since sin x = sin(2p+x) = sin(4p+x)..
• One to One relation:
• Many to One relation:
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