Let f(x)= cases -x^ 2 +4x & 0 x 2, 3x-4 & 2< x 4

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Let

f(x)=\begin{cases}-x^{2}+4x & 0\le x\le 2,\\ 3x-4 & 2< x\le 4.\end{cases}

Determine the absolute maximum value of

f

[0,4]

. (a)

4

(b)

5

(c)

8

(d)

2