Which of the following conditions is sufficient to conclude that a function attains…
MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity
Problem
Which of the following conditions is sufficient to conclude that a function f attains every value between f(a) and f(b) on the interval [a,b]?
(a) f is monotonic on [a,b].
(b) f is continuous on [a,b].
(c) f is differentiable on (a,b) but may be discontinuous at a or b.
(d) f has only finitely many discontinuities on (a,b).