0
What else can I help you with?
how is a relation not a function?
A relation is not a function if it assigns the same input value to multiple output values. In other words, for a relation to be a function, each input must have exactly one output. If an input corresponds to two or more different outputs, the relation fails the vertical line test, indicating that it is not a function. For example, the relation {(1, 2), (1, 3)} is not a function because the input '1' is linked to both '2' and '3'.
Could a function have multiple values of y for one value of x?
No, a function cannot have multiple values of ( y ) for one value of ( x ). By definition, a function assigns exactly one output (or value of ( y )) for each input (or value of ( x )). If a relation has multiple ( y ) values for a single ( x ), it is not classified as a function.
What do you call the set of output values of a function or relation?
The co-domain or range.
What is the difference between function and a relation?
Good question. A relation is simply that; any x-value to create any y-value. A function, however, cannot be defined for multiple values of x. In other words, for a relation to be a function, it must have singular values for all x within its domain.
What is the set of all first coordinates of a relation or function?
The set of all first coordinates of a relation or function is known as the domain. It consists of all the input values for which the relation or function is defined. In the context of a function, these first coordinates correspond to the values that can be mapped to an output in the codomain. Thus, the domain provides information about the permissible inputs for the function or relation.
Is a function a relation that assigns only one output value to each of its input values?
Answer - True, answer on apex.
The set of output values of a function or relation?
The set of output values of a function or relation is the range
What is the set of all possible output values of a function or relation?
The Range is the set of all possible output values of a function or relation.
What is The relation is the set of output values for the relation?
A relation doesn't have an "output value", in the sense that a function does. A set of values is either part of the relation, or it isn't.
how is a relation not a function?
A relation is not a function if it assigns the same input value to multiple output values. In other words, for a relation to be a function, each input must have exactly one output. If an input corresponds to two or more different outputs, the relation fails the vertical line test, indicating that it is not a function. For example, the relation {(1, 2), (1, 3)} is not a function because the input '1' is linked to both '2' and '3'.
Could a function have multiple values of y for one value of x?
No, a function cannot have multiple values of ( y ) for one value of ( x ). By definition, a function assigns exactly one output (or value of ( y )) for each input (or value of ( x )). If a relation has multiple ( y ) values for a single ( x ), it is not classified as a function.
Is every relation a function?
No, not every relation is a function. In order for a relation to be a function, each input value must map to exactly one output value. If any input value maps to multiple output values, the relation is not a function.
What do you call the set of output values of a function or relation?
The co-domain or range.
The output of a function or relation The set of y-values that a graph is defined on?
Range
What is the difference between function and a relation?
Good question. A relation is simply that; any x-value to create any y-value. A function, however, cannot be defined for multiple values of x. In other words, for a relation to be a function, it must have singular values for all x within its domain.
What is the set of all first coordinates of a relation or function?
The set of all first coordinates of a relation or function is known as the domain. It consists of all the input values for which the relation or function is defined. In the context of a function, these first coordinates correspond to the values that can be mapped to an output in the codomain. Thus, the domain provides information about the permissible inputs for the function or relation.
if a given value yields three output values that relationship can be best described a function?
No, it is described as a relation.
