Determine if 9|x|+y=4 is a function

represent a function

Step-by-step explanation:

we know that

You can check whether a graph represents a function by using the vertical line test.

The vertical line test states that a graph represents a function if and only if all vertical lines intersect the graph at most once

In this problem we have

using a graphing tool

This graph does represent a function, since any vertical line intersects the graph exactly once

see the attached figure

therefore

represent a function