f is a continuous function with a domain [−3, 9] such that (see picture) and let (see picture). On what interval is g increasing? For 0 ≤ x ≤ 6, express g(x) in terms of x.

Question

erinkb99 · Answer

attachment

erinkb99 · Answer

attachment

erinkb99 · Answer

@zepdrix

zepdrix · Answer

Why separately? XD lol
We were almost done :D

zepdrix · Answer

g'(x) = f(x)

So when x is between 0 and 6, g'(x) = what?

erinkb99 · Answer

So I could medal you twice!

erinkb99 · Answer

changing from positive to negative?

zepdrix · Answer

Remember g'(x) = f(x).
We figured that out.

So when x is between 0 and 6, f(x) = ?

erinkb99 · Answer

0?

zepdrix · Answer

f(x) is piece-wise.
So it's one of the three pieces when x is between 0 and 6,
which one?

erinkb99 · Answer

oh oops
-x +3

zepdrix · Answer

k good so when x is between 0 and 6,$$\large\rm f(x)=-x+3=g'(x)$$So there is your answer.
Oh wait wait wait.. that's g'(x).
They want g(x). Interestingggg

erinkb99 · Answer

-1/2x^2 +3x??

zepdrix · Answer

That's what I was thinking maybe...
hmm sneaky sneaky problem -_-

erinkb99 · Answer

Indeed haha

zepdrix · Answer

Hmm I'm a little stumped on this part :C
Hope we did that properly.

erinkb99 · Answer

Probably its right. I have one more question thats pretty easy I just think I'm psyching myself out

zepdrix · Answer

XD k let's check it out