Let $X=\{1,2,3\}$, $Y=\{1,2,3,4\}$, and $Z=\{1,2\}$

Question

(a) Define a function $g:X\rightarrow Z$ that is onto but not one-one

(b) Define a function $h: Y\rightarrow Y$ that is neither one-to-one nor onto

for (a) suppose we define $g(1)=1,g(2)=2,g(3)=2$ Is right ?

for (b) $h(1)=h(2)=h(3)=h(4)=1$ Is right ?

$\begingroup$ Yes! It's correct. $\endgroup$ – André Porto Nov 9 '16 at 4:41 — André Porto, Nov 9 '16 at 4:41
$\begingroup$ @vidyarthi...g is not one one $\endgroup$ – user293581 Nov 9 '16 at 4:43 — user293581, Nov 9 '16 at 4:43
$\begingroup$ @rajendra yes, i mistook onto for one-one. You are right. $\endgroup$ – vidyarthi Nov 9 '16 at 4:45 — vidyarthi, Nov 9 '16 at 4:45

Mike Pierce · Accepted Answer · 2016-11-09 05:00:06Z

1

Yes, your answers are quite correct.

answered Nov 9 '16 at 5:00

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