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Mapping

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Published in: Geography
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A mapping is a rule which relates each element x of one set X to a unique element y in another set Y.

Ragini S / Bhopal

4 years of teaching experience

Qualification: Msc (maths)

Teaches: Communicative English, Mental Maths, All Subjects, Mathematics, Algebra, Chemistry, Physics

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  1. 01 mited to . Smita Nair COLLEG 00 0 GHOPAL (MS'S o Submitted by Ragini Singh M.Sc. 1st year
  2. Mappings 9, It's types
  3. Definition A mapping is a function that is represented by two sets of objects with arrows drawn between them to show the relationships between the objects. A mapping is a rule which relates each element x of one set X to a unique element y in another set Y.
  4. v The mapping is expressed as the function, f, thus: y =f(x). There can only be said to be a mapping from X to Y if no elements are left unmapped from X, and if each value of x is assigned to only one value of y. In all mappings, the oval on the left holds values for the domain, and the oval on the right holds values for the codomain.
  5. Domain, Range and Function Mapping Domain: The set of values to be put into a function. In other words the set of possible x values Range: The set of values produced by a function. In other words the set of possible y values
  6. function Domain4 age Set (Range) Co-domain
  7. ??? ??? ???? ???? tc ??? ????
  8. One-to-One (Injective) Functions A function is one-to-one (1-1 ), or injective, or an injection, if every element of its range has only one pre-image. Only one element of the domain is mapped IQ any given one element of the range.
  9. N/A
  10. On rhe GF"h To be Injective, a Horizontal Line should never intersect the curve at 2 or more points. same! unique "Injective" (one- General Function to-one)
  11. mnmom In this case each person has only one mass, yet several people have the same Mass. Person ilul Peter Saif Ram Geor Has A Mass of 62
  12. Into Functions A is onto or surjective or a surjection if its range is not equal to its codomain . An into function maps the set A into just over a piece of B. 12
  13. Onto (Surjective) Functions A is onto or surjective or a surjection if its range is equal to its codomain (YbeB, 3aeA: An onto function maps the set A onto (over, covering) the entirety of the set B, not just over a piece of it. 13
  14. Inte mapping Some functions that are or are not onto their codomains: Onto (but not 1-1) 14 into Both 1-1 and onto 1-1 but not onto
  15. Biiections A function fis a one-to-one correspondence, or a bijection, or reversible, or invertible, iff it is both one- to-one and onto. Example: The functionf(x) = x2 from the set of positive real numbers to positive real numbers is injective and surjective. Thus it is also bijective. But not from the set of real numbers because we could have, for example, both f(2)=4 and 15
  16. A mapping is a way of matching the members of a set "A" to a set "B' "Injective, Surjective and Bijective" tells us about how a function behaves. General Function Injective Not surjective Surjective Not injective Bijective (injective and surjective)
  17. ÄPlugs liÅlates for Power Oint

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