# Question: please help express the range of each function using roster...

###### Question details

please help

Express the range of each function using roster notation.

(a)

Let A = {2, 3, 4, 5}.

f: A → **Z** such that f(x) = 2x - 1.

(b)

Let A = {2, 3, 4, 5}.

f: A → **Z** such that f(x) = x^{2}.

(c)

f: {0,1}^{5} → **Z**. For x ∈
{0,1}^{5}, f(x) is the number of times "01" occurs in the
string. For example f(01101) = 2 because the string "01" occurs
twice in "01101". The first occurrence starts at the first bit. The
second occurrence starts in at the fourth bit.

(d)

f: {0,1}^{5} → **Z**. For x ∈
{0,1}^{5}, f(x) is the number of 1's that occur in x. For
example f(01101) = 3, because there are three 1's in the string
"01101".