Question

The graph of f ′(x) is continuous and decreasing with an x-intercept at x = 0. Which of the following statements is false?

The graph of f has an inflection point at x = 0.
The graph of f has a relative maximum at x = 0.
The graph of f is always concave down.
The graph of the second derivative is always negative.

Answer 1

@bibby @dan815 @Godlovesme @Hero @iambatman @inowalst @jagr2713 @Lyrae @Michele_Laino @quickstudent @sleepyjess @sleepyhead314 @Squirrels @wio @xapproachesinfinity

Answer 2

somebody has answered this question before i recall
check @misty

Answer 3

i mean misty21

Answer 4

was not that you who asked the same quesiton?

Answer 5

it was a different ? but looked similiar

Answer 6

well for me it looks perfectly the same question

Answer 7

it says decreases instead of increases so that changes things

Answer 8

Actually i remember that question said decreases as well hehe

Answer 9

you mean this should be saying increases hehe

Answer 10

@xapproachesinfinity heres the link to the old question. nowhere in that question does it specifically state decreases

Answer 11

http://openstudy.com/users/familyguymath#/updates/552e8df7e4b0cb4951766b74

Answer 12

i'm sure i have seen this same question and misty answered
but i don't if that was you
at any rate , follow the same reasoning
siths did with that question
if f' decreases then f''<0
so concaved down
f' has and x intercept at x=0
mean f'(0)=0 0 i a critical point
so at x=0 we might have an extremum

Answer 13

so its either a or d is what ur saying?

Answer 14

if f' is decreasing and have an x intercept at x=0
then f'>0 before 0 and f'<0 after x=0
so potive to negative means we have and a mix-mum

Answer 15

well read and analyze what i wrote and see what you have to take out

Answer 16

well for inflation we don't have other things about f" that would tell us about it
so must be wrong

Answer 17

others just read carefully what i did

Answer 18

i gave you all what you need to answer this just think

Answer 19

@xapproachesinfinity so its just a and d

Answer 20

the only wrong one is a