Answer: Yes , [tex]y = x^2 + 12x + 31[/tex] is a function.
Step-by-step explanation:
- A relation is said to be a function if each input value (or x-value) corresponds to one unique output value (y-value).
The given relation : [tex]y = x^2 + 12x + 31[/tex]
where , [tex]x^2 + 12x + 31[/tex] and it a polynomial function .
Also, when we draw the graph of the given function [see the attachment ], we can see that each value of x corresponds to exactly one unique y-value.
It means it follows the definition of a function.
Thus , the answer is : Yes , [tex]y = x^2 + 12x + 31[/tex] is a function.
