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A mapping is a rule that defines an association between two sets: a domain and a codomain (which need not be different from the domain).
For a mapping to be a function, each element in the domain must have a unique image in the codomain.
Sometimes, it is necessary to define the domain so that this requirement is satisfied. For example, square root is not a function from the set of Reals (R) to the Reals (R)because there is no image for a negative number. Also, any positive element of R can be mapped to the principal square root or its negative value. You can get around this by defining the domain as the non-negative real numbers, R0+, and the codomain as either the same or the non-positive real numbers.
A mapping is a rule that defines an association between two sets: a domain and a codomain (which need not be different from the domain).
For a mapping to be a function, each element in the domain must have a unique image in the codomain.
Sometimes, it is necessary to define the domain so that this requirement is satisfied. For example, square root is not a function from the set of Reals (R) to the Reals (R)because there is no image for a negative number. Also, any positive element of R can be mapped to the principal square root or its negative value. You can get around this by defining the domain as the non-negative real numbers, R0+, and the codomain as either the same or the non-positive real numbers.
A mapping is a rule that defines an association between two sets: a domain and a codomain (which need not be different from the domain).
For a mapping to be a function, each element in the domain must have a unique image in the codomain.
Sometimes, it is necessary to define the domain so that this requirement is satisfied. For example, square root is not a function from the set of Reals (R) to the Reals (R)because there is no image for a negative number. Also, any positive element of R can be mapped to the principal square root or its negative value. You can get around this by defining the domain as the non-negative real numbers, R0+, and the codomain as either the same or the non-positive real numbers.
A mapping is a rule that defines an association between two sets: a domain and a codomain (which need not be different from the domain).
For a mapping to be a function, each element in the domain must have a unique image in the codomain.
Sometimes, it is necessary to define the domain so that this requirement is satisfied. For example, square root is not a function from the set of Reals (R) to the Reals (R)because there is no image for a negative number. Also, any positive element of R can be mapped to the principal square root or its negative value. You can get around this by defining the domain as the non-negative real numbers, R0+, and the codomain as either the same or the non-positive real numbers.
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ReneA mapping is a rule that defines an association between two sets: a domain and a codomain (which need not be different from the domain).
For a mapping to be a function, each element in the domain must have a unique image in the codomain.
Sometimes, it is necessary to define the domain so that this requirement is satisfied. For example, square root is not a function from the set of Reals (R) to the Reals (R)because there is no image for a negative number. Also, any positive element of R can be mapped to the principal square root or its negative value. You can get around this by defining the domain as the non-negative real numbers, R0+, and the codomain as either the same or the non-positive real numbers.
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When does a relation be a function?
A function is a relation whose mapping is a bijection.
What is the mapping between a set of inputs and a set out outputs?
It is simply a mapping. It could be a function but there are several conditions that need to be met before the mapping can become a function and there is no basis for assuming that those conditions are met.
What is the word mapping in math?
A mapping is a function.f: A -> BThis statement says f is a function and it maps from set A to set B.In order for f to be a function, for every element of A, there must exist uniquely f(a) in B.
What is the difference between relations and functions?
A function is a relation whose mapping is a bijection.
What is an expression that describes the relationshipbetween each input and output?
A mapping. It need not be a function.
