Question

Is the relation a function? y = x2 + 12x + 31

Answer 1

Yes. When graphed each input will only have one output. 

Answer 2

Answer: Yes ,
`y = x^2 + 12x + 31` is a function.

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 :
`y = x^2 + 12x + 31`

where ,
`x^2 + 12x + 31` 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 ,
`y = x^2 + 12x + 31` is a function.