Question

Help me sketch a graph?

Answer 1

@agent0smith

Answer 2

@jdoe0001

Answer 3

Don't have time for it now but might later

Answer 4

f(0)=f(2)=0
these are to point that the graph pass through (0,0) and (2,0)

f'(x)<0 for x<1
then the graph is decreasing for x<1

f'(x)>0 for x>1
then the graph is increasing for x>1

f'(1)=0
then the graph has an optimum at x=1

f''(x) > 0
then the graph's concavity is upwards and it has a minimum

Answer 5

Ok, @agent0smith . @hoblos I drew the line passing through those two points. what else do i have to do?

Answer 6

it's not a line, it's a curve
you must follow the instructions:
it decreases from infinity passing through (0,0) till it reaches x=1 where we have a minimum, then it increases to infinity passing through (2,0)

Answer 7

ok..

Answer 8

it would be like that