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Sketch a continuous curve y = f(x) with the following properties. Label coordinates

Mathematics
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|dw:1355273004366:dw|
|dw:1355273205902:dw| something close to that?
well at 4,4 it's an inflection point meaning from positive to negative or negative to positive

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Other answers:

I just wanna first make sure I understand the language they're using. x<2, falling concave up. Does that mean the slope is falling? Or that the function is falling? Hmm I think it means the function is falling, because if the slope was falling, it would be concave down, as you have drawn it in the picture. See how you have a HAT shape before x=2? Isn't that concave down? Am I looking at it correctly? :D heh
|dw:1355274267316:dw|
lol well x<2? i read it as any function less than two. and the curve is "falling" concave up
so yea i drew the first part wrong -_-
From 2 to 4, the function needs to be RISING the entire time, it can't dip downward, here is an example.
|dw:1355274423728:dw|
|dw:1355274446120:dw|
at 4 it changes slope direction right?
lololol XD Oh man i love my pen tool c: nice straight lines lol
Mmmm no i don't think so :O
I meannnn, lemme make sure i understand what you're asking :D
from BEFORE 2, it was concave up, it continues to be concave up all the way til 4. With a horizontal tangent at 2.
Make sure you understand what concave up looks like.
well at 4,4 there's an infflection point
|dw:1355274652299:dw|See how the slope changes from increasing to decreasing? The FUNCTION is still increasing, but now the SLOPE is decreasing, creating a HAT instead of a bowl.
CCU = Concave Up CCD = Concave Down In case there was any confusion about that :)
oooohhh okk! and yes! your peen tool is awesome lololol
hah XD
Can you picture how it will end? :D We have another tangent at x=6 right? Then the instructions say umm Falling Concave Down for the rest of the way... So we'll continue to have a nice HAT shape, with the top of the hat being at x=6.
lol thanks!

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