Answer:
It is a function
Step-by-step explanation:
A function is of the form:
Where each of the x values must be distinct.
The x values are referred to as domain while the y values are called range.
Having said that, the given data can be represented as follows:
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<em>From the representation above, none of the x values are repeated.</em>
<em>Hence, it is a function</em>
1) , and
. Subtracting this from the numerator gives a remainder of
, and
. Subtracting this from the previous remainder gives a new remainder of
This means that
2) , and
. Subtracting this from the numerator gives a remainder of
, and
. Subtracting this from the previous remainder gives a new remainder of
, and
. Subtracting this from the previous remainder gives a new remainder of
This means that
3) will be a factor of
if dividing the latter by
leaves a remainder of 0.
, and
. Subtracting this from the numerator gives a remainder of
, and
. Subtracting this from the previous remainder gives a new remainder of
, and
. Subtracting this from the previous remainder gives a new remainder of
and since the remainder is 0, is indeed a factor of
.