Let

f

:

Z

$->$

Z

$\backslash$times

Z

be defined as

f

$($

n

$)$

$=$

$($

$3$

n

$,$

n

$+$

$2$

$)$

$.$

Select which statements are true.

Question $14$ options:

a$)$

if the input

n

is even then the first element of the output pair is even.

b$)$

f

$($

$1$

$)$

$=$

$($

$3$

$,$

$3$

$)$

c$)$

f

$($

$$

$1$

$)$

$=$

$($

$$

$3$

$,$

$1$

$)$

d$)$

if the input

n

is even then the second element of the output pair is odd.

e$)$

for any

n

in the domain, the first element of the output pair has to be even

f$)$

for any

n

in the domain, the second element of the output pair has to be odd.