Consider on the interval

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Consider f(x)=x3−4xf(x)=x^{3}-4x on the interval [1,3][1,3]. For which of the following values of kk is the equation f(x)=kf(x)=k guaranteed to have at least one solution in (1,3)(1,3)? (a) k=−3k=-3 (b) k=15k=15 (c) k=−2k=-2 (d) k=−5k=-5

Related theory

Browse the problem library