Python Code: Problem – Order testing [3 ×5 points] All functions you are asked to define for this problem should accept

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Python Code:
Problem – Order testing [3 ×5 points] All functions you are
asked to define for this problem should accept the same kind of
arguments: a list of values that can be compared against each
other. All functions return a boolean value, but based on different
criteria (as stated below). Finally, none of the functions should
modify their input list in any way.
Remark: You may use the all() built-in function, if you wish. In
general, you can use any built-in functions or standard library
functions (no external dependencies, of course), unless explicitly
mentioned otherwise for a particular problem.
Problem 7.1 – listlib.is ascending() Returns True if the
elements of the input list are in non- decreasing order, and False
otherwise.
Problem 7.2 – listlib.is descending() Returns True if the
elements of the input list are in non- increasing order, and False
otherwise.
Problem 7.3 – listlib.is sorted() Returns True if the elements
of the input list are in either non- decreasing or non-increasing
order, and False otherwise.
Hint [1]: The formal definition of non-decreasing should tell
you how to implement is_ascending: a sequence a0,a1,...,aN−1 is
non-decreasing if and only if ai−1 ≤ ai for all 1 ≤ i < N. In
case the “for all” phrasing isn’t clear, another way to state the
definition is that (a0 ≤a1) and (a1 ≤a2) and ··· and (aN−2 ≤ aN−1)
should be true. Once you’ve implemented is_ascending, it should be
very easy to also do is_descending.
Hint [2]: Just in case: the definition of sorted (i.e., either
non-decreasing or non-increasing) is not that (ai−1 ≤ ai) or (ai−1
≥ ai) should be true for all 1 ≤ i < N (actually, this statement
is a logical tautology, i.e., it is always trivially true). Don’t
over-complicate; if you use is_ascending and is_descending, then
the implementation of is_sorted should be fairly trivial.