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Describe what it means for a function to be one to one?
It is the function for which all the elements of the range of the function corresponds to exactly one element of the domain.
What is meant by one-one function?
it is a function to where every element in the range equals exactly one element in the range, or for every x there is exactly one f(x)
How do you find out if y is a function of x?
y is a function of x iffor each value of x (in the domain) there is a value of y, andfor each value of y (in the range) there is at most one value of x.
How do you find if a relation is a function?
A relationship is a function if every element in the domain is mapped onto only one element in the codomain (range). In graph terms, it means that any line parallel to the vertical axis can meet the graph in at most one point.
What is the relationship between relation and function?
A function is a relationship that is one-to-one or many-to-one but not one-to-many. Thus, if a and b are in the domain of the function, then their images in the range, f(a) and f(b) MUST be equal.
A relation in which each element of the domain is paired with exactly one element of the range?
A relation where each element of the domain is paired with only one element of the range is a one to one function. A one to one function may also be an onto function if all elements of the range are paired.
Describe what it means for a function to be one to one?
It is the function for which all the elements of the range of the function corresponds to exactly one element of the domain.
What is meant by one-one function?
it is a function to where every element in the range equals exactly one element in the range, or for every x there is exactly one f(x)
Can the members of the domain be in the members of the range and be a function?
Yes, the domain must correspond to only one member of the range in order to be a function in a member of the domain goes to more than one member of the range it then is a relation and not a function A function is a relation but a relation isnt always a function
When utilizing a function what does a range of cells represent?
A range can be one of the arguments in a function. It can also be an array of values. It depends on the function and what it needs to work.
Does the total function sum the numbers in the specified range and then divides the sum by the number of nonzero cells in the range?
To be technically accurate, no function does this. The answer you are looking for is the AVERAGE function. It divides by the amount of cells that have values in them, not by the amount of cells. In most situations, all of the selected cells have values in them, but there are cases when they don't.
A relation in which every domain value is paired with exactly one range value?
Function
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].
Is x2-y2 equals 81 a function?
The answer, for y as a function of x, depends on the range of y. Over the real numbers, it is not a function because a function cannot be one-to-many. But it is always possible to define the domain and range in such a way that the mapping in not one-to-many.
What is the correspondence of the domain and range of a linear function?
It is a bijection [one-to-one and onto].
How do you find out if y is a function of x?
y is a function of x iffor each value of x (in the domain) there is a value of y, andfor each value of y (in the range) there is at most one value of x.
How do you find if a relation is a function?
A relationship is a function if every element in the domain is mapped onto only one element in the codomain (range). In graph terms, it means that any line parallel to the vertical axis can meet the graph in at most one point.
