Consider on . Justify that attains both an absolute maximum and an absolute minimum…

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

Problem

Consider

p(x)=x^{2/3}

[-1,1]

. Justify that

p

attains both an absolute maximum and an absolute minimum on this interval, and give the extrema values along with the

x

-values where they occur.