The function is given by h(x)= cases -x^ 2 +4x+1, & x 1, (x-2)^ 2 -3, & x>1

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

The function

h

is given by

h(x)= \begin{cases} -x^{2}+4x+1, & x\le 1,\\ (x-2)^{2}-3, & x>1. \end{cases}

At which

x

-value does

h

attain a relative minimum? (a)

x=1

(b)

x=2

(c)

x=0

(d)

x=3