Consider the function f(x)= cases 2x+5, & x<1

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

Problem

Consider the function

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

Which set of

x

-values must be examined to determine all relative (local) extrema of

f

? (a)

\{2\}

(b)

\{1,2\}

(c)

\{1\}

(d)

\{-2,2\}