The derivative of a function is given by F'(x)= cases 3, & x<1, 2x, & x 1

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

The derivative of a function

F

is given by

F'(x)= \begin{cases} 3, & x<1,\\ 2x, & x\ge 1. \end{cases}

F(1)=4

, what is

F(3)

? (a)

8

(b)

16

(c)

12

(d)

10