Question

Determine whether the relation defines y as a function of x. Guve the domain.

Answer 1

Step-by-step explanation

Given:

`y=-(5)/(x)`

To determine whether the relation defines y as a function of x, we get the domain first.

Based on the given relation, when we plug in x=0, the value would be undefined. So the function domain is x<0 or x>0.

Hence, the interval notation is:

`(-\infty,0)\cup(0,-\infty)`

We can use vertical line test to determine if it is a function as shown in the graph below:

As we can see, there's only one point of intersection so the relation defines y as a function of x. Therefore, the answer is:

Function; domain

`(-\infty,0)\cup(0,-\infty)`