The derivative of a function is given by f(x)= cases 3,&0 x 2, -2,&2 x 4

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

The derivative of a function

F

is given by

f(x)=\begin{cases}3,&0\le x\le 2,\\-2,&2\le x\le4.\end{cases}

F(0)=5

, what is

F(4)

? (a) 9 (b) 7 (c) 5 (d) 11