Consider the function defined on by f(x)= cases x^ 2 +4x+5, & -2 x 1, 6x-x^ 2 , & 1<x 3

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

Problem

Consider the function

f

defined on

[-2,3]

f(x)= \begin{cases} x^{2}+4x+5, & -2\le x\le 1,\\ 6x-x^{2}, & 1<x\le 3. \end{cases}

Determine the absolute maximum value of

f

on the interval

[-2,3]