For the function is defined by g(x)= cases x^ 2 -4x+1, & 0 x 2, 4 x +1, & 2< x 5

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

Problem

For

0\le x\le5

the function

g

is defined by

g(x)= \begin{cases} x^{2}-4x+1, & 0\le x\le 2,\\ 4\ln x +1, & 2< x\le 5. \end{cases}

At which

x

–value does

g

attain its absolute maximum on the interval

[0,5]

? (a)

x=2

(b)

x=5

(c)

x=e

(d)

x=3