Does the equation below represent a relation, a function, both a relation and a function, or neither a relation nor a function?
y = x2 - 9x
a
a
function only
function only
b.
neither a relation nor a function
c.
relation only
d.
both a relation and a function
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D. Both a relation and a function.

Step-by-step explanation:

We have been given an equation . We are asked to determine whether the equation represent a relation, a function, both a relation and a function, or neither a relation nor a function.

We know that the relationship between x and y-values of an ordered pair is know as relation. The set of all values is known as domain of relation and set of all y-values is known as range of relation.

We also know that a relationship will be also a function, when each input in the domain has exactly one specific corresponding output.  

We know that equation is an upward opening parabola. If we draw a vertical line on parabola, it never intersects the graph of parabola twice, therefore, our given function is a relation and function.