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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?
Wiki User
∙ 10y ago
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.
Wiki User
∙ 9y ago
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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 does domain and estimate the range mean in math?
"Domain" means for what numbers the function is defined (the "input" to the function). For example, "x + 3" is defined for any value of "x", whereas "square root of x" is defined for non-negative "x". "Range" refers to the corresponding values calculated by the function - the "output" of the function. If you write a function as y = (some function of x), for example y = square root of x, then the domain is all possible values that "x" can have, whereas the range is all the possible values that "y" can have.
How are piece-wise functions different from other functions?
That means that the functions is made up of different functions - for example, one function for one interval, and another function for a different interval. Such a function is still a legal function - it meets all the requirements of the definition of a "function". However, in the general case, you can't write it as "y = (some expression)", using a single expression at the right.
Can a function assign the same output value to three different input values?
Yes, although functions that do so are not one-to-one functions. A vertical parabola is an example of one such function.
Which is an example of a function?
Y = X2 Is a parabolic function.
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.
Why it is not possible to pass a function as an argument to another function in c?
It is quite possible. A well-known example is the fourth parameter of qsort.
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Each Esroh wants something different. For Example, Ares wants 250 Arena entries. Enjoy! (: PinkBlueBerry
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example of an depreciation asset
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Different proteins have different functions. For example, your hair is made of proteins.
What is an example a primary resource?
Some example of primary resources are newspapers, journal entries, and letters.
What is a example of primary resource?
Some example of primary resources are newspapers, journal entries, and letters.
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structures have different composition . they are made up of different thing every structure is different from other. function of structure depend upon its composition for example mitochondria is known as power house of the cell it provide energy to the cell and centriolles play different function for the cell because of its different composition
What r the Demerits of function in C?
Write a merits and demerits of using function in program
What does domain and estimate the range mean in math?
"Domain" means for what numbers the function is defined (the "input" to the function). For example, "x + 3" is defined for any value of "x", whereas "square root of x" is defined for non-negative "x". "Range" refers to the corresponding values calculated by the function - the "output" of the function. If you write a function as y = (some function of x), for example y = square root of x, then the domain is all possible values that "x" can have, whereas the range is all the possible values that "y" can have.
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The likelihood of winning an online sweepstakes depends on how many entries one has, and how many total entries are in the sweepstakes. For example, if there are 100 total entries, and one has 5 entries into the sweepstakes, that person has a 5% chance of winning the prize. As with any contest, the more entries one has, and the smaller the total number of entries is, the better one's chances are.
