Answer: Option D
Step-by-step 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 [tex]x = 3[/tex] then [tex]y = 14[/tex] and [tex]y = 19[/tex].
The input value [tex]x = 3[/tex] 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 [tex]x = 3[/tex] then [tex]y = 0[/tex] and [tex]y = -5[/tex].
The input value [tex]x = 3[/tex] 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 [tex]x = -1[/tex] then [tex]y = -11[/tex] and [tex]y = 5[/tex].
[tex](-1,-11)[/tex] , [tex](-1, 5)[/tex]
The input value [tex]x = -1[/tex] 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)
[tex]\{(-5, 3), (-3, 1), (-1, -1), (1, -1), (3, 1), (5, 3)\}[/tex]
So the relationship is a function
