Assume that postage for sending a first-class letter in the United States is $0.44 for the first ounce (up to and including 1 oz) plus $0.17 for each additional ounce (up to and including each additional ounce).

a. Graph the function p = f(w) that gives the postage p for sending a letter that weighs w ounces, for 0 < w ≤ 5.

b. Evaluate lim_w→3.3f(w).

c. Interpret the limits lim_w→1⁺ f(w) and lim_w→1^- f(w).

d. Does lim_w→4 f(w) exist? Explain.