Exercise · ZW-FUNCTION-007 · ★★☆ Intermediate
A function f:A→B is surjective if...
Choose one option.
Show answer
- B. Every element of B is the image of some element of A
Explanation
f : A → B is surjective if every element of B is the image of some element of A, that is, the image is the whole codomain. It is not the same as injective and it does not require A = B.
Review the concept: Function
A function f from A to B assigns to each element of A exactly one element of B. A is the domain and B the codomain.
\[f:A\to B\]
More practice problems: function
- ZW-FUNCTION-001 A function f : A → B assigns to each element of A...
- ZW-FUNCTION-002 In f : A → B, what is the domain?
- ZW-FUNCTION-003 A relation assigns the same element of A two different values in B. What is it?
- ZW-FUNCTION-004 Which rule defines a function from ℝ to ℝ?
- ZW-FUNCTION-005 The codomain of f : A → B is...
- ZW-FUNCTION-006 A function is injective if...
- ZW-FUNCTION-008 The function f(x)=x² from ℝ to ℝ is not injective because...
- ZW-FUNCTION-009 Which of these rules defines a function from ℝ to ℝ?