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The impact of a drug is a measure of its effect, for example, the reduction in blood pressure, loss of weight, or the duration of a
headache. The impact, $I$, generally depends on the dose, $D$, given. Two possible impact functions, valid for $0 \le D \le 300$, are
$I = f(D) = D\sqrt{300 + D}$ $I = g(D) = D\sqrt{300 - D}$.
(a) Which function, $f$ or $g$, has a critical point for $D > 0$?
Function
has a critical point for $D > 0$.
(b) For $f$ and $g$, what dose gives the maximum impact on $0 \le D \le 300$?
For $f$, the maximum impact occurs at $D = 300$
For $g$, the maximum impact occurs at $D = $
