Mathematics 1 Deneme Sınavı Sorusu #1216143
- Consider the function
. For every x1, x2 
A if x1 ? x2 implies f(x1) ? f(x2) then the function f is called one-to-one (or injective). - Given a function if the image is equal to the range, i.e. f (A)=B the function f is called surjective (onto).
- If a function which is both one-to-one and onto is called a bijection.
- Constant function and identity function are the concepts related to types of functions. A function assigning each element from its domain a single element in its range is called a constant function.
- Given A ?
, a function defined on the set A and assigning every element of A to itself is called the identity function.
Which of the statements above regarding to properties and types of functions is/are correct?
|
III |
|
II and III |
|
I, III and IV |
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I, II, III and V |
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I, II, III, IV and V |
Consider the function . For every x1, x2
A if x1 ? x2 implies
f(x1) ? f(x2) then the function f is called one-to-one (or injective).
Given a function if the image is equal to the range, i.e. f (A)=B the function f is called surjective (onto).
If a function which is both one-to-one and onto is called a bijection.
Constant function and identity function are the concepts related to types of functions. A function assigning each element from its domain a single element in its range is called a constant function.
Given A ? a function defined on the set A and assigning every element of A to itself is called the identity function.
As also understood from the information all of the statements regarding to properties and types of functions in the options are correct, so the correct answer is E.
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