Question

Sketch the graph of a function that satisfies all of the following condition: FI(0)=FI(4)=0, FII(2)=FII(4)=0, FI(x)>0 if x<0, FII(x)>0 if 24, FII(x)<0 if x<2 or if x>4

Answer 1

what's the notation u using for FI and FII represent?

Answer 2

The derivative and the second derivative.

Answer 3

max/min at x=0, 4
inflection point at x=0, 4
F is increasing for x<0
F is decreasing for 0<x<infinity
F is concave up on 2<x<4
F is concave down for x<2 or X>4

Answer 4

i think that satisfies all the conditions given....
of course, this is not unique....