Question

Let A = {12, 13, 14, 15, 16, 17} and $f:A\to Z$ be a function given by
f(x) = highest prime factor of x.

Answer 1

We have,
f(x) = highest prime factor of x.
$\therefore 12=3\times 4$
$13=13\times 1$
$14=7\times 2$
$15=5\times 3$
$16=2\times 8$
$17=17\times 1$
$\therefore$ f{(12, 3), (13, 13), (14, 7), (15, 5), (16, 2), (17, 17)}
$\therefore$ Range (f) = {3, 13, 7, 5, 2, 17}