Question

Which relation describes a function? What makes it a function?












A)
{(2,3),(3,3),(3,4)} Each member of the domain and range is positive.



B)
{(-2,3),(-4,5),(-6,7)} Each member of the domain and range is unique.



C)
{(2,3),(3,3),(3,4)} Each member of the domain and range is a real number.



D)
{(-2,3),(-3,3),(-4,3)} Each member of the domain is assigned exactly one member of the range.

Answer 1

if x-coordinate repeats at least twice, then the relation is not a function.

Answer 2

so..

Answer 3

Okay, I will give you some examples.

Answer 4

Example 1)
Question: (1,2) , (-2,-4) , (4,-5) , (1,-5)
Answer: not a function.
Reason: x-coordinate 1 repeats more than once in points, (\(\normalsize\color{blue}{ \rm 1 }\) ,2) (\(\normalsize\color{blue}{ \rm 1 }\),-5)

Example 2)
Question: (3,2) , (4,5) , (7,5) , (1,-5)
Answer: yes, a function.
Reason: y-coordinate 1 repeats more than once in points, (4,\(\normalsize\color{blue}{ \rm 5 }\) ) (7,\(\normalsize\color{blue}{ \rm 5 }\)) but,
y-coordinate is ALLOWED TO REPEAT.

Answer 5

thxs:)