swin2013 2 years ago Sketch a continuous curve y = f(x) with the following properties. Label coordinates

1. swin2013

|dw:1355273004366:dw|

2. swin2013

|dw:1355273205902:dw| something close to that?

3. swin2013

well at 4,4 it's an inflection point meaning from positive to negative or negative to positive

4. swin2013

@zepdrix

5. zepdrix

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

6. zepdrix

|dw:1355274267316:dw|

7. swin2013

lol well x<2? i read it as any function less than two. and the curve is "falling" concave up

8. swin2013

so yea i drew the first part wrong -_-

9. zepdrix

From 2 to 4, the function needs to be RISING the entire time, it can't dip downward, here is an example.

10. zepdrix

|dw:1355274423728:dw|

11. swin2013

|dw:1355274446120:dw|

12. swin2013

at 4 it changes slope direction right?

13. zepdrix

lololol XD Oh man i love my pen tool c: nice straight lines lol

14. zepdrix

Mmmm no i don't think so :O

15. zepdrix

I meannnn, lemme make sure i understand what you're asking :D

16. zepdrix

from BEFORE 2, it was concave up, it continues to be concave up all the way til 4. With a horizontal tangent at 2.

17. zepdrix

Make sure you understand what concave up looks like.

18. swin2013

well at 4,4 there's an infflection point

19. zepdrix

|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.

20. zepdrix

CCU = Concave Up CCD = Concave Down In case there was any confusion about that :)

21. swin2013

oooohhh okk! and yes! your peen tool is awesome lololol

22. zepdrix

hah XD

23. zepdrix

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.

24. swin2013

lol thanks!