MATHEMATICS · Multi-part · AP · Calculus AB · Limits and Continuity · Limits and Continuity
Problem
Let f(x)=x3−5x+2.
(1) Calculate f(1) and f(2).
(2) Determine whether f has a real zero in (1,2). Provide justification for your conclusion.
(3) If your answer to part (b) is affirmative, identify a subinterval of length 21 contained in (1,2) that must also contain a zero of f. Show how you obtained the subinterval.