Find the domain and range of these functions.

a) the function that assigns to each pair of positive integers the maximum of these two integers

b) the function that assigns to each positive integer the number of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 that do not appear as decimal digits of the integer

c) the function that assigns to a bit string the number of times the block 11 appears

d) the function that assigns to a bit string the numerical position of the first 1 in the string and that assigns the value 0 to a bit string consisting of all 0s

Step 1</p>

We have to find the domain and range of the following functions.

a) Step 2</p>

We have to find the domain of the function, that assigns to each pair of positive integers the maximum of these two.

Domain : The set of pairs of positive integers that is,

Codomain : The codomain is

b) Step 3</p>

Next we find the domain of function, which assigns to each positive integer the number of digits 0,1,2,3,4,5,6,7,8,9 that do not appear as decimal digits of the integer.

Domain : Set of positive integers

Co domain : Set of natural numbers.

c)