0
No. For example, consider the discontinuous bijection that increases linearly from [0,0] to [1,1], decreases linearly from (1,2) to (2,1), increases linearly from [2,2] to [3,3], decreases linearly from (3,4) to (4,3), etc.
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
Is every permutation always a one-to-one function?
By definition, a permutation is a bijection from a set to itself. Since a permutation is bijective, it is one-to-one.
How do you identify the range of a function in math?
It can be quite hard. First determine the domain. Then, for every input value from the domain, calculate the output value. The set of all these output values is the range. For simple functions you will not need to find every output value. For monotonic continuous functions the end points of the domain will determine the endpoints of the range. [Monotonic means never decreasing or never increasing]. For non-monotonic functions, for example a quadratic or polynomial of higher order, you may need to find the turning points.
Is the relation a function?
Not every relation is a function. But every function is a relation. Function is just a part of relation.
How does the exponential function differ from other functions?
Every function differs from every other function. Otherwise they would not be different functions!
Why is every function a relation?
That is part of the definition of a function.
Is every permutation always a one-to-one function?
By definition, a permutation is a bijection from a set to itself. Since a permutation is bijective, it is one-to-one.
How do you identify the range of a function in math?
It can be quite hard. First determine the domain. Then, for every input value from the domain, calculate the output value. The set of all these output values is the range. For simple functions you will not need to find every output value. For monotonic continuous functions the end points of the domain will determine the endpoints of the range. [Monotonic means never decreasing or never increasing]. For non-monotonic functions, for example a quadratic or polynomial of higher order, you may need to find the turning points.
Is the relation a function?
Not every relation is a function. But every function is a relation. Function is just a part of relation.
For which sets Adoes there exist a bijection from A to A that is different from the identity function of A?
Let A be any set that has at least 2 elements and let every element in set A maps to itself except for 2 elements that do not map to each other. i.e. A = 1, 2, 3, ... , n 1 --> 2 2 --> 1 3 --> 3 4 --> 4 ... n --> n
How many year study?
It is strictly dependent on your overall career goals and objectives. Every career will have training and education requirements particular to itself.It is strictly dependent on your overall career goals and objectives. Every career will have training and education requirements particular to itself.It is strictly dependent on your overall career goals and objectives. Every career will have training and education requirements particular to itself.It is strictly dependent on your overall career goals and objectives. Every career will have training and education requirements particular to itself.It is strictly dependent on your overall career goals and objectives. Every career will have training and education requirements particular to itself.It is strictly dependent on your overall career goals and objectives. Every career will have training and education requirements particular to itself.
Is all relation a function?
Not every relation is a function. A function is type of relation in which every element of its domain maps to only one element in the range. However, every function is a relation.
Is every function a realation?
Yes, but not the other way round - not every relation is a function.
How does the exponential function differ from other functions?
Every function differs from every other function. Otherwise they would not be different functions!
Every continuous function is integrible but converse is not true every integrable function is not continuous?
That's true. If a function is continuous, it's (Riemman) integrable, but the converse is not true.
How important is the function of every part of the cell to the overall functioning of the body?
every cell perform different function so overall function of the body is relevent to the every cell
Why is every function a relation?
That is part of the definition of a function.
Is every relation a function?
No
