Question

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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Answer 1

Answer:

A

Step-by-step explanation:

Why a function is that in the same question you can be able to find the outputs or the Range provided you have the Domains or values of X. And you can also find the inverse function

Answer 2

Answer:

D. Both a relation and a function.

Step-by-step explanation:

We have been given an equation $y=x^2-9x$. 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 $y=x^2-9x$ 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.