Determine which of the following statements about the function on the interval is true.

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

Problem

Determine which of the following statements about the function

p(x)=\sqrt{x}

on the interval

[0,4)

is true. (a) The Extreme Value Theorem applies and therefore

p

must attain its absolute maximum at

x=4

. (b) The Extreme Value Theorem does not apply because

p

is not differentiable at

x=0

. (c) The Extreme Value Theorem does not apply because the interval is not closed at

x=4

. (d) The Extreme Value Theorem applies because

p

is continuous on a bounded interval.