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No.
The function y = x2, where the domain is the real numbers and the codomain is the non-negative reals is onto, but it is not one to one. With the exception of x = 0, it is 2-to-1.
Fact, they are completely independent of one another.
A function from set X to set Y is onto (or surjective) if everything in Y can be obtained by applying the function by an element of X
A function from set X to set Y is one-one (or injective) if no two elements of X are taken to the same element of Y when applied by the function.
Notes:
1. A function that is both onto and one-one (injective and surjective) is called bijective.
2. An injective function can be made bijective by changing the set Y to be the image of X under the function. Using this process, any function can be made to be surjective.
3. If the inverse of a surjective function is also a function, then it is bijective.
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Is the relation a function?
Not every relation is a function. But every function is a relation. Function is just a part of relation.
What type of function maps an input onto itself?
A function that maps an input onto itself is called an identity function. In other words, the output of the function is the same as the input. The identity function is represented by the equation f(x) = x.
What is the example of onto function?
y = 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.
How does the exponential function differ from other functions?
Every function differs from every other function. Otherwise they would not be different functions!
