i e(n) = |n| where e : N→ N (where we define N to exclude 0) ii f(n) = n where f: Z R iii g(x) = max(x, 100) where g : R → R. The max function returns the maximum of its two input arguments so that g(1000) = 1000 and g(10) = 100. iv Let A = {apple, banana, apricot, cake, orange} and B = {4,5, 6, 7}. Define the function h: A B which counts the number of letters in the input. For example, h(apple) = 5 and h(cake) = 4.

Help with all please.

The bar graph to the right shows the average number of hours that people sleep per​ day, by age group. Use this information to complete parts a and   Consider a​ function, f, whose domain is the set of six ages shown. Let the range be the average number of hours that people sleep per day. Write the function as a set of ordered pairs. f= Write the relation that is the inverse of f as a set of ordered pairs. The relation is Based on these ordered​ pairs, is f a​ one-to-one function?   The function f is not a​ one-to-one function because the relation that is the inverse of is a function. B. The function f is a​ one-to-one function because the relation that is the inverse of f is a function. C. The function f is not a​ one-to-one function because the relation that is the inverse of f is not a function. D. The function f is a​ one-to-one function because the relation that is the inverse of f is not a function.

Pick a destination for a hypothetical road trip. What is the distance in miles?   If you are traveling this road trip, the distance remaining can be described as a function of miles driven. Use function notation to write a mathematical function to describe the distance remaining. Use x for the domain and for the range.