Let . Determine whether there exists a number in the interval such that , and briefly…

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let

f(x)=x^{3}-4x+1

. Determine whether there exists a number

c

in the interval

[1,2]

such that

f(c)=0.5

, and briefly justify your answer.