Question

Determine whether the formula describes y as a function of x. Explain your reasoning.y = -x

Answer 1

Yes,
`y=-x` describes "y" as a funcion of "x", because each input value (value of "x") has only one ouput value (value of "y").

Step-by-step explanation:

By definition, a relation is a function if each input value (value of "x")has only one ouput value (value of "y").

We need to remember that "y as a function of x" means that "x" is the independent variable and "y" is the dependent variable or, in other words, the value of the variable "y" depends upon the value of the variable "x".

Then,
`y=-x` is a function, because each input value has one and only one output value. For example:

If
`x=-2`, then:

`y=-(-2)=2`

If
`x=1`, then:

`y=-(1)=-1`

If
`x=5`, then:

`y=-(5)=-5`

Therefore,
`y=-x` describes "y" as a funcion of "x".