Pregunta
The relation
is defined by the ordered pairs listed below.
The domain of
is
The range of
is
Is
a function?
O Yes, the relation is a function
No, the relation is not a function
Question Help: D Post to forum
The domain of
The range of
Is
O Yes, the relation is a function
No, the relation is not a function
Question Help: D Post to forum
Ask by Vaughan Huff. in the United States
Mar 25,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The domain of
is
, the range is
, and
is not a function.
Solución
To determine if the relation
is a function, we need to check if each element in the domain maps to a unique element in the range.
Given relation
Domain of
: The set of all first elements in the ordered pairs, which are
.
Range of
: The set of all second elements in the ordered pairs, which are
.
To check if
is a function, we need to verify if each element in the domain maps to a unique element in the range.
Since there are repeated elements in the range for the same element in the domain (e.g.,
and
), the relation
is not a function.
Therefore, the answer is: No, the relation is not a function.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Mind Expander
The domain of the relation
consists of all the first elements from the ordered pairs, which are
. This means the domain is unique values of inputs, leading to the set
. Meanwhile, the range of
comprises the second elements of each pair:
. Thus, the range is
.
Now, is
a function? Let’s examine the definition of a function: each input should map to exactly one output. In this case, the input
is associated with two different outputs,
and
. Therefore, the answer is: No, the relation is not a function.

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