General: Aspirin Clinical studies have shown that the analgesic (pain-relieving) effec...

General: Aspirin Clinical studies have shown that the analgesic (pain-relieving) effect of aspirin is approximately where f(x) is the percentage of pain relief from x grams of aspirin.

a. Graph this dose-response curve for doses up to 1 gram, that is, on the window [0, 1] by [0, 100].

b. TRACE along the curve to see that the curve is very close to its maximum height of 100% or 1 by the time x reaches 0.65. This means that there is very little added effect in going above 650 milligrams, the amount of aspirin in two regular tablets, notwithstanding the aspirin companies’ promotion of “extra strength” tablets. [Note: Aspirin’s dose-response curve is extremely unusual in that it levels off quite early, and, even more unusual, aspirin’s effect in protecting against heart attacks even decreases as the dosage x increases above about 80 milligrams.]