1. ## Curve Sketching

Sketch a graph of a function f that is differentiable and satisfies the following conditions:
1.
f'(x)>0, when x<-5
f'(x)<0, when -5<x<1 and when x>1
f'(-5)=0 and f'(1)=0
f(-5)=0 and f(1)=2

2. sketch a graph of a function f that is differentiable and satisfies the following conditions:
f'(x)>0 when x<2 and when 2<x<5
f'(x)<0 when x>5
f'(2)=0 and f'(5)=0
f''(x)<0 when x<2 and when 4<x<7
f''(x)>0 when 2<x<4 and when x>7
f(0)=-4

can someone show me their graph too because I want to check if mine is correct

2. Originally Posted by skeske1234
Sketch a graph of a function f that is differentiable and satisfies the following conditions:
1.
f'(x)>0, when x<-5
f'(x)<0, when -5<x<1 and when x>1
f'(-5)=0 and f'(1)=0
f(-5)=0 and f(1)=2

2. sketch a graph of a function f that is differentiable and satisfies the following conditions:
f'(x)>0 when x<2 and when 2<x<5
f'(x)<0 when x>5
f'(2)=0 and f'(5)=0
f''(x)<0 when x<2 and when 4<x<7
f''(x)>0 when 2<x<4 and when x>7
f(0)=-4

can someone show me their graph too because I want to check if mine is correct
It would be better if you posted your graph for us to check.

3. if i knew how..

how do you attach a file?