
Sketching graphs
Just wondering if I could get a hand with sketching a graph where you aren't given the function. These are the details that are given : f(0)=1 f'(0)=0. f'(2)=0 f'(x) <0 for x <2. f'(x) >0 for 0<x<2. f'(x) <0 for x>2. Any help with finding critical points would be appreciated (Nod) cheers (Nod)

Re: Sketching graphs
f'(0)=0 f(0) = 1,
The gradient at x=0 is zero.
f'(2)=0
at x=2, the gradient is zero.
f'(x)<0 for x<2.
The gradient is less than zero for any value strictly less than x=2.
f'(x)<0 for x>2
The gradient is less than zero for any value strictly greater than x=2.
f'(x)>0 for 0<x<2.
The gradient is greater than zero for any values between (0, 2).
This seems to be a very disjointed graph.

Re: Sketching graphs