Consider the functions f(x) = x! and g(x) = x5 for natural numbers x.
a. what are the values of f(x) and g(x) for x = 5, 10, 15, 20, 25?
b. what is the end behavior of f(x) as x → [infinity]?
c. what is the end behavior of g(x) as x → [infinity]?
d. make an argument for the end behavior of f(x) / g(x) as xx → [infinity].
e. make an argument for the end behavior of g(x) / f(x) as x → [infinity].

An office supply company conducted a survey before marketing a new paper shredder designed for home use. in the survey, 80 % of the people who tried the shredder were satisfied with it. because of this high satisfaction rate, the company decided to market the new shredder. assume that 80 % of all people are satisfied with this shredder. during a certain month, 100 customers bought this shredder. find the probability that of these 100 customers, the number who are satisfied is 69 or fewer.