The function is continuous on and differentiable on

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

Problem

The function

g

is continuous on

[0,6]

and differentiable on

(0,6)

. Selected function values are

g(0)=2,\,g(2)=5,\,g(4)=-1,\,g(6)=3

. The only critical numbers of

g

(0,6)

are

x=2

and

x=4

. At which of the following

x

–values does

g

attain its absolute minimum on

[0,6]

? (a)

x=0

(b)

x=2

(c)

x=4

(d)

x=6