Question

Please help

The graph of the derivative, f '(x), is given, where a= 8. Determine the x-coordinates of all points of inflection of f(x), if any. (Assume that f(x) is defined and continuous everywhere in
[−24, 24].) I added a screen shot of the graph.

x = ?? ( smaller value)
x= ?? ( larger value)

Answer 1

why is x=16 an inflection point?

Answer 2

you're correct in that x=-8 is an inflection point, but the other one you entered is not right...

Answer 3

if x=-8 correct, why does it state in my hwk that its not

Answer 4

because x=-8 is actually the larger one...

Answer 5

ah i see, so how would i find the smaller value?

Answer 6

since the graph is of the derivative, the point of inflection of the function occurs at max/mins of the derivative.

Answer 7

would it be 8?

Answer 8

no... look a the picture of the derivative... x=-8 is a local min so x=-8 is an inflection point...

do you see another local max or local min on the derivative?

Answer 9

-16? or -24?

Answer 10

-16 actually

Answer 11

i got it, thanks for the help

Answer 12

@dpaInc can you help me with another one like this, but its easier

Answer 13

sure.... post it as a new question....