You just have to answer to all of the questions and bullet points. Think about them, and do some sketches. In the end that will help you to end the assignment.
Hope it helped.
Answer:
an irrational number unless the rational number is zero
Step-by-step explanation:
The only case when a product of a rational number times an irrational gives a rational number, is when the rational number is zero. Otherwise the product will always be irrational. The product of an irrational number that cannot be written as a quotient , times another one that can be expressed as a quotient will remain with the characteristic of not being able to be expressed as a quotient.
Let bitstrings have a maximum length of L bits.
and f(x)=number of one-bits less number of zero-bits.
x=length of bitstring in bits.
Case 1: x=L, all L bits are ones
Then f(x)=L
Case 2: x=L, all L bits are zeroes
Then f(x)=-L
Then
dom f(x)=[0,L]
range f(x) = [-L,L]