Let be a function that is differentiable on the interval and whose derivative is given by

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

Problem

Let

p

be a function that is differentiable on the interval

[0,3]

and whose derivative is given by

p'(x)=(x-1)(x-2)

. Which of the following sets contains all

x

-values that must be evaluated to determine the absolute extrema of

p

[0,3]

? (a) \{1,2\} (b) \{0,3\} (c) \{0,1,2,3\} (d) \{0,1,3\}