Answer: Option D
Explanation:
A relationship is a function if and only if for each input value x (domain) only one output value y is assigned (Range)
Option A.
Note that x represents the input values and y represents the output values.
When
then
and
.
The input value
has two output values y assigned.
So the relationship is not a function
Option B.
Note that x represents the input values and y represents the output values.
When
then
and
.
The input value
has two output values y assigned.
So the relationship is not a function
Option C
Note that x represents the input values and y represents the output values.
When
then
and
.
,
![(-1, 5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ixiwqc7tush22nbllawgafbo3wcp5rjogj.png)
The input value
has two output values y assigned.
So the relationship is not a function
Option D
Note that x represents the input values and y represents the output values and for each input value x (domain) only one output value y is assigned (Range)
![\{(-5, 3), (-3, 1), (-1, -1), (1, -1), (3, 1), (5, 3)\}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/u2o27aedej5bpzg8d4thdejskzpq27gezw.png)
So the relationship is a function