Consider the function f(x)= cases x^ 3 +2, & x

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

Problem

Consider the function

f(x)= \begin{cases} x^{3}+2, & x<0,\\ 2\cos x, & 0\le x\le \pi,\\ \sqrt{x-\pi}+1, & x>\pi. \end{cases}

How many

x

-values on the real line are relative extrema of

f

? (a)

1

(b)

3

(c)

2

(d)

0