Let be defined on the interval

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

Problem

Let

g(x)=x^{2}-6x+8

be defined on the interval

[0,k]

, where

k>0

. Determine all real values of

k

for which the absolute minimum of

g

on this interval occurs at the right endpoint

x=k