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What is a function in math term?
A function is a mapping from one set - the domain - to another set - the codomain or range - such that each element in the domain is associated with one and only one element in the range.The domain and codomain need not be different.It is possible for several elements in the domain to be mapped onto the same element in the range ie a "many-to-one" mapping. However a "one-to-many" mapping not permitted. It may be possible to redefine the domain or range of a one-to-many mapping so that it is no longer is one-to-many and so becomes a function.For example,f(x) = x2 (for real x) is a perfectly legitimate many-to-one function. Both -2 and +2 are mapped to 4, but that is OK.f(x) = sqrt(x) for x ≥ 0 is not a function because 4 can be mapped to -2 or +2. To avoid this, you can restrict the range to f(x) ≥ 0 or define f(x) = |sqrt(x)|.
Is it ever possible for the domain and range to have different numbers of entries what happens when this is the case?
Yes. Typical example: y = x2. To avoid comparing infinite sets, restrict the function to integers between -3 and +3. Domain = -3, -2 , ... , 2 , 3. So |Domain| = 7 Range = 0, 1, 4, 9 so |Range| = 4 You have a function that is many-to-one. One consequence is that, without redefining its domain, the function cannot have an inverse.
Is it ever possible for the domain and range in a function to have different numbers of entries for example 3 domain entries to 5 range entries or 2 range entries to 7 domain entries?
Yes. The range can have fewer number of entries.As an extreme case, consider f(x) = 3, where x is a Real number.The domain is all Real numbers - infinitely many of them, while the range is one value: 3.A function can contain one-to-one or many-to-one relationships but one-to-many relationships are not permitted. As a result, the cardinality of the range cannot be bigger than the cardinality of the domain.
If F(x) x plus 2 and G(y) what is the domain of G(F(x))?
It is necessary to know the domain of x and also what the function G(y) is before it is possible to answer the question.
What is the domain and range of y equals cubed square root of x?
The simplest answer is that the domain is all non-negative real numbers and the range is the same. However, it is possible to define the domain as all real numbers and the range as the complex numbers. Or both of them as the set of complex numbers. Or the domain as perfect squares and the range as non-negative perfect cubes. Or domain = {4, pi} and range = {8, pi3/2} Essentially, you can define the domain as you like and the definition of the range will follow or, conversely, define the range and the domain definition will follow,
What is DHCP discover?
The Dynamic Host Configuration Protocol (DHCP) lease process consists of four processes. The processes are 1. Discover 2. Offer 3. Request 4. Acknowledgment In the Discover process the DHCP client initiates the process by trying to discover any DHCP servers in the network. This discover packet is a broadcast packet.
Domain and range of y equals 2sinx?
The domain is the set of all possible x values, for this problem it would be negative infinity to positive infinity. The range is the set of all possible y values, for this problem it would be -2 too +2
What is the function if the domain is 0 0.5 2 3 and the range is 0 0.5 2 4.5?
There are 24 possible functions: One of these is f(0) = 2 f(0.5) = 4.5 f(2) = 0.5 f(3) = 0 The four numbers in the range can be placed opposite the domain in any order.
Where can someone find low prices on domain names in the UK?
It is possible for somebody to find low prices on Domain names in the Uk. One place to find low prices would be 1-2-3 Reg. However, one's opinion on cheap will effect that answer.
What is a function in math term?
A function is a mapping from one set - the domain - to another set - the codomain or range - such that each element in the domain is associated with one and only one element in the range.The domain and codomain need not be different.It is possible for several elements in the domain to be mapped onto the same element in the range ie a "many-to-one" mapping. However a "one-to-many" mapping not permitted. It may be possible to redefine the domain or range of a one-to-many mapping so that it is no longer is one-to-many and so becomes a function.For example,f(x) = x2 (for real x) is a perfectly legitimate many-to-one function. Both -2 and +2 are mapped to 4, but that is OK.f(x) = sqrt(x) for x ≥ 0 is not a function because 4 can be mapped to -2 or +2. To avoid this, you can restrict the range to f(x) ≥ 0 or define f(x) = |sqrt(x)|.
Is it ever possible for the domain and range to have different numbers of entries what happens when this is the case?
Yes. Typical example: y = x2. To avoid comparing infinite sets, restrict the function to integers between -3 and +3. Domain = -3, -2 , ... , 2 , 3. So |Domain| = 7 Range = 0, 1, 4, 9 so |Range| = 4 You have a function that is many-to-one. One consequence is that, without redefining its domain, the function cannot have an inverse.
What is one suggestion to try if the domain name you wish for is taken already?
1. contact the domain Owner, buy the domain 2. wait the domain delete, then, Registration
Is it ever possible for the domain and range in a function to have different numbers of entries for example 3 domain entries to 5 range entries or 2 range entries to 7 domain entries?
Yes. The range can have fewer number of entries.As an extreme case, consider f(x) = 3, where x is a Real number.The domain is all Real numbers - infinitely many of them, while the range is one value: 3.A function can contain one-to-one or many-to-one relationships but one-to-many relationships are not permitted. As a result, the cardinality of the range cannot be bigger than the cardinality of the domain.
IP address be assign serveral method Identify those methods involve?
1. DHCP server 2.Static assignment 3 manual dhcp
How many packets are involved in a successful DHCP renewal process?
2
What is the example of the range and domain in a function?
A function is a mapping from one set to another. It may be many-to-one or one-to-one. The first of these sets is the domain and the second set is the range. Thus, for each value x in the domain, the function allocates the value f(x) which is a value in the range. For example, if the function is f(x) = x^2 and the domain is the integers in the interval [-2, 2], then the range is the set [0, 1, 4].
If F(x) x plus 2 and G(y) what is the domain of G(F(x))?
It is necessary to know the domain of x and also what the function G(y) is before it is possible to answer the question.
