Apentix/AP Calculus AB/Unit 5: Analytical Applications of Differentiation/Question

AP Calculus ABeasymcq1 pt

When using the candidates test to find the absolute extrema of a continuous function on $[a,b]$ , which $x$ -values must be evaluated?

A.the critical points of

f

in

(a,b)

and the endpoints

a

and

b

B.only the points in

(a,b)

where

f'(x)=0

C.only the endpoints

a

and

b

D.every point where

f''(x)=0

Explanation

Core Concept

Absolute extrema of a continuous function on a closed interval occur at critical points or at endpoints. The candidates test evaluates exactly those values.

Correct Answer

Athe critical points of $f$ in $(a,b)$ and the endpoints $a$ and $b$

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