Your Tasks

Suppose that Python does not include the higher$-$order functions map, filter, and reduce. Define three corresponding functions, named myMap, myFilter, and myReduce, in a new module named hof $($in the file hofapy$).$ The myMap and myFilter functions expect a function of one argument and a list as arguments and return a list of the results. The myReduce function expects a function of two arguments and a nonempty list as arguments and returns a single value. Test your functions in a short tester program $($in the file testhofapy$)$ that compares their behavior to that of Python's own map, filter, and reduce functions. $($LO: $7\mathrm{.}2)$

Instructions

Task $1$: Define the myMap functions which expect a function of one argument and a list as arguments and return a list of the results.

Task $2$: Define the myFilter functions which expect a function of one argument and a list as arguments and return a list of the results.

Task $3$: Define the myReduce function which expects a function of two arguments and a nonempty list as arguments and returns a single value.