Exercise · ZW-FUNCTION-001 · ★☆☆ Basic
A function f : A → B assigns to each element of A...
Choose one option.
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- D. Exactly one element of B
Explanation
A function f : A → B assigns to each element of A exactly one element of B: neither none nor two. That uniqueness is what distinguishes it from an arbitrary relation.
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-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-007 A function f:A→B is surjective 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?