Question

What are the domain and the range of the function that assigns to each pair of positive integers the first integer of the pair?

Answer 1

)the function that assigns to each positive integer its largest decimal digitf: Z+ -> {0,1,2,3,4,5,6,7,8,9}The domain is the set of all positive integers. The range is the set of all decimal digits.c)the function that assigns to a bit string the number of ones minus the number of zeros in thestring.Domain is the set of all bit strings, bit strings are non-negative integers. Range is the set ofall integers.f: Z+ -> Zd)the function that assigns to each positive integer the largest integer not exceeding the squareroot of the integer.F: Z+ -> Z+The domain is the set of all positive integers, and the range is the set of all positive integers.e)the function that assigns to a bit string the longest string of ones in the stringDomain is the set of all bit strings, Z+.Range is {“”, “1”, “11”, …} the set of all strings of ones, including none.8. Find these values.f )⌈-2.99⌉Answer: -212. Determine whether each of these functions fromZtoZis one-to-one.a)f (n)=n− 1