Which of the following lists includes every point where a continuous

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

Problem

Which of the following lists includes every point where a continuous, differentiable function

g

defined on the closed interval

[2,9]

could attain its absolute extrema? (a) All interior critical numbers of

g

only (b) The endpoints

x=2

and

x=9

only (c) The interior critical numbers of

g

together with the endpoints

x=2

and

x=9

(d) All points where

g''(x)=0