Explain why, when determining the greatest and least values of a continuous function…

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Explain why, when determining the greatest and least values of a continuous function on a closed interval

[a,b]

, one must evaluate the function at both the stationary points inside

(a,b)

and the end-points

a

and

b