is |x|+|y|=1 a function

Answer 1

 |x|+|y|=1

Are you sure there is no function?

This is only defined for x between -1 and 1, and y between -1 and 1

Let’s express as a function of x.

| y | = 1 - | x |

For every value of x in the domain, there is only one value for y, and it is non-negative, so we could discard the absolute value sign around y.

Answer 2

The graph is a square with vertices at (1,0), (0,1), (-1,0), and (0,-1). Since the graph fails the Vertical Line Test, it is not the graph of a function.

Answer 3

|0.5| + |0.5| = 1

|0.5| + |-0.5| = 1

So, no .