Is the graph correct?

Question

Hi, I drew this graph, but I'm not sure if it's correct, could someone check it for me, Thanks!

f'(X)= 0 at X=0 and X=2
f'(X)<0 for 0 f'(X) >0 for X<0

Draw f(X)
http://i2.photobucket.com/albums/y37/jenn_ditto/8-1.jpg

Answer 1

Looks like it satisfies all of the stated demands.

Answer 2

(1)f'(X)= 0 at X=0 and X=2
(2)f'(X)<0 for 0 (3)f'(X) >0 for X<0

Basically 1, 2 ,3 is already get graph correctly good only the (0,0) bit misalignment.

There is another rule need to consider
f'(X) =? for X>2
if f'(X) > 0 for X>2 your graph is wrong
if f'(X) < 0 for X>2 your graph is correct

Check
rule no 2
(2)f'(X)<0 for 0 Logic consequences is
(4) f'(X)>=0 for X<=0
(5) f'(X)>=0 for X>=2

combine (4) with rule no 2 and no 1 is became no 3
(4) f'(X)>=0 for X<=0
(1)f'(X)= 0 at X=0 and X=2
(2)f'(X)<0 for 0 (3)f'(X) >0 for X<0 because f'(X)= 0 at X=0

But Combination rule (5) with rule 1 and 2
(5) f'(X)>=0 for X>=2
(1)f'(X)= 0 at X=0 and X=2
(2)f'(X)<0 for 0
will be
f'(X) > 0 for X>2 because f'(X)= 0 at X=2

Conclusion
So Your Graph is Wrong
the correct one is
f'(X) > 0 for X>2

Answer 3

Looks good.

Here's an equation that matches what you have:

y = -x(x-2)^2

graph it on a graphing calculator to see.

Answer 4

ya it seems alright just put the arrows at the end of all 4 axes and mark X and y

Answer 5

I can't tell on my screen if those say f (x) or f ' (x) (first derivative).

If it's first derivative, you are not correct. If it's just f (x) you are OK except that you slightly missed (0,0)

Answer 6

it looks like the Rio Grande. you missed the whole 0,0 thing though

Answer 7

looks right, just the (0,0) part was a tad bit off

Answer 8

yes,
very good\
s