Tamil Nadu Board Solutions for Chapter: Relations and Functions, Exercise 8: Solved Example

If $X=\left\{-5, 1, 3, 4\right\}$ and $Y=\left\{a, b, c\right\}$, then check whether the following relation is function from $X$ to $Y$?

${\mathrm{ℝ}}_1=\left\{\left(-5, a\right), \left(1, a\right), \left(3, b\right)\right\}$

If $X=\left\{-5, 1, 3, 4\right\}$ and $Y=\left\{a, b, c\right\}$, then check whether the following relation is function from $X$ to $Y$?

${\mathrm{ℝ}}_2=\left\{\left(-5, b\right), \left(1, b\right), \left(3, a\right), \left(4, c\right)\right\}$

If $X=\left\{-5, 1, 3, 4\right\}$ and $Y=\left\{a, b, c\right\}$, then check whether the following relation is function from $X$ to $Y$?

${\mathrm{ℝ}}_8=\left\{\left(-5, a\right), \left(1, a\right), \left(3, b\right), \left(4, c\right), \left(1, b\right)\right\}$