Implement Map

Computer Science Level 1

Map is a function which takes another function and applies it to each item in a list, returning the new list.

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def map(the_function, the_list):
    # return a new list with the_function
    # applied to each element in the_list

Using only head and tail as defined by the List ADT, implement map.

Use your implementation of map to apply the function

1 2	`def polynomial(x): return 3 * x * x - 5 * x + 1`

to the list $[32, 57, 16, 8, 38]$ .

[992, 3192, 240, 56, 1406]

[928, 3078, 208, 40, 1330]

[2913, 9463, 689, 153, 4143]

[5025, 16075, 1233, 297, 7107]