AP CALCULUS AB URGENT HELP http://prntscr.com/ayifl0

Question

tmagloire1 · Answer

Please help anyone?

xguardians · Answer

Let me finish the rest of my opened questions then I can help you out! Need some practice for my AP exam this upcoming week.

tmagloire1 · Answer

ok thanks

xguardians · Answer

So, first we know that g(x) is the integral of the graph f(x), therefore, we know that the graph we are being shown is the first derivative of g(x).

tmagloire1 · Answer

Yeah!

xguardians · Answer

Do you know how to tell when it is increasing and concave down?

tmagloire1 · Answer

Yeah its increasing so its concave down.

xguardians · Answer

If the g(x) is increasing, you simply look at f(x) for any values that are positive. To find if it is concave up or down, you must take a look at the second derivative (or the slope of f(x)). Positive slopes are concave up, negative slopes are concave down.

xguardians · Answer

Therefore, I believe between the values of [-3,0] fulfill these requirements.

tmagloire1 · Answer

So that interval would be in an open interval?

tmagloire1 · Answer

? @xGuardians

xguardians · Answer

What do you mean?

xguardians · Answer

Oops, I made a quick mistake. I thought you said concave up my bad.

xguardians · Answer

It should be between 0 and 2 that fulfill these requirements. Since the graph is increasing, yet concave down as it approaches 0. My apologies.

tmagloire1 · Answer

Okay, thank you for the help!

xguardians · Answer

How did you just assume f(t) = (x+3)?

tmagloire1 · Answer

So after I re integrate I would get an interval of -3, 0?

tmagloire1 · Answer

because you have to take the differentiate the integral?

tmagloire1 · Answer

ohh ok

tmagloire1 · Answer

so i got x+3 for the integral

tmagloire1 · Answer

and 0 for the second derivative

tmagloire1 · Answer

-1/6 (-6+x)^2 (3+x) ?

tmagloire1 · Answer

second derivative would be 3-x

zarkon · Answer

you should use xGuardians's idea.  You are working too hard.  This is a 5-10 second problem.

tmagloire1 · Answer

id still like to continue @Loser66 's way since i started

tmagloire1 · Answer

lol wait so on the problem where do i go from getting the second derivative

tmagloire1 · Answer

im p sure the answer is -3,0 like @xGuardians said though

xguardians · Answer

You should just be able to look at the graph, this problem is not too difficult. However, you may follow Loser66 to further understand it if you can't look at it and instantly see. Let me know if you need a more detailed explanation.

xguardians · Answer

@Loser66 , no problem.
@tmagloire1, do you need any more assistance?

zarkon · Answer

on -3 to 0 the function is concave up...don't you want concave down?