Question

Consider a relation from set $X$ to set $Y$ such that $y=\frac{1}{x}.$ where $x\in X\&y\in Y$
$X:\{2,.25,100\}Y:\{0.5,4,0.01\}$

Is it a function or a relation?

• A. Yes. It is a function.
• B. It is a relation but not a function.
• C. It is a special type of relation.

Answer 1

Answer: (A), (C)

It is a special type of relation.

For the $X:\{2,.25,100\}$ and $Y:\{0.5,4,0.01\}$ with the rule $y=\frac{1}{x},$ let's form the mapping diagram.


All the elements of se $X$ are mapped, and each $x$ value has only one associated $y$ value.
$\therefore$ This is a function.

Also, any function is a special type of relation.