Decide whether the following statement is true or false and justify your decision…

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

Problem

Decide whether the following statement is true or false and justify your decision with reasoning or a counterexample: If a function

f

is continuous on

[a,b]

and has exactly one critical point in

(a,b)

, then that critical point must be the location of the absolute extremum of

f

[a,b]