Consider a function machine that accepts inputs as ordered pairs. Suppose the components...

Consider a function machine that accepts inputs as ordered pairs. Suppose the components of the ordered pairs are natural numbers and the first component is the length of a rectangle and the second is its width. The following machine computes the perimeter (the distance around a figure) of the rectangle. Thus, for a rectangle whose length, l, is 3 and whose width, w, is 1, the input

Answer each of the following:

a. For each of the following inputs, find the corresponding output: (1, 4), (2, 1), (1, 2), (2, 2), (x, y).

b. Find the set of all the inputs for which the output is 20.

c. Is (2, 2) a possible output? Explain.