famous
This statement is incorrect. A mapping diagram can represent both functions and relations. A relation is any set of ordered pairs, while a function is a specific type of relation where each input (or domain element) is associated with exactly one output (or range element). In a mapping diagram, if each input has a single output, it represents a function; if an input has multiple outputs, it represents a relation that is not a function.
Not every relation is a function. But every function is a relation. Function is just a part of relation.
An ordered pair can represent either a relation or a function, depending on its properties. A relation is simply a set of ordered pairs, while a function is a specific type of relation where each input (first element of the pair) is associated with exactly one output (second element of the pair). If an ordered pair is part of a set where each input corresponds to only one output, it defines a function. Otherwise, it is just a relation.
A function is a relation whose mapping is a bijection.
A mapping diagram can be used to represent a function or a relation true or false?
famous
Not every relation is a function. But every function is a relation. Function is just a part of relation.
An ordered pair can represent either a relation or a function, depending on its properties. A relation is simply a set of ordered pairs, while a function is a specific type of relation where each input (first element of the pair) is associated with exactly one output (second element of the pair). If an ordered pair is part of a set where each input corresponds to only one output, it defines a function. Otherwise, it is just a relation.
No, a function must be a relation although a relation need not be a functions.
Does the graph above show a relation, a function, both a relation and a function, or neither a relation nor a function?
A function is a relation whose mapping is a bijection.
yes.
A graph can represent either a relation or a function, depending on the nature of the relationship between the variables depicted. A relation is simply a set of ordered pairs, while a function is a specific type of relation where each input (or x-value) is associated with exactly one output (or y-value). To determine if a graph represents a function, the vertical line test can be applied: if any vertical line intersects the graph at more than one point, it is not 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.
No. A relation is not a special type of function.
A relation is a function if every input has a distinct output.