Help determining if an equation is a function of x

Question

Graph:

1. ${y\over|y|}={x\over|x|}$
2. ${\lfloor x \rfloor \lfloor y \rfloor = 1}$

Determine if each graph represents a function of x and explain your answer.

I've never seen anything like the before and I'm not sure where to start.

Answer 1

Hint:

1. ${y\over|y|}={x\over|x|}$ \begin{cases} x \ge 0 \Rightarrow \frac{x}{|x|} = \frac{y}{|y|} = 1 \Rightarrow y \ge 0 \\ x \lt 0 \Rightarrow \frac{x}{|x|} = \frac{y}{|y|} = -1 \Rightarrow y \lt 0 \\ \end{cases} So ${y\over|y|}={x\over|x|}$ is a general way to refer to every functions whose graph is in the $I$ and $III$ quadrant of a Cartesian coordinate system.
2. ${\lfloor x \rfloor \lfloor y \rfloor = 1} \Rightarrow \lfloor y \rfloor = \frac{1}{\lfloor x \rfloor} \ldots$