AP

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

Problem

Let

f(x)=\begin{cases}1+\sin x, & x<0\\x^2-x+1, & x\geq0\end{cases}

. Then (1)

f

has a local maximum at

x=0

(2)

f

has a local minimum at

x=0

(3)

f

is increasing everywhere (4)

f

is decreasing everywhere