Thread: characteristics of x^3 - 6x^2 + 12x +18

Which of the following characteristics of x^3 -6x^2 +12x +18 [IMG]file:///C:/Users/Arwin/AppData/Local/Temp/msohtmlclip1/01/clip_image002.gif[/IMG][IMG]file:///C:/Users/Arwin/AppData/Local/Temp/msohtmlclip1/01/clip_image002.gif[/IMG][IMG]file:///C:/Users/Arwin/AppData/Local/Temp/msohtmlclip1/01/clip_image002.gif[/IMG] are true?
A. X=2 is a point of inflection
B. X=2 is an upward turning point and x=0 is a downward turning point
C. X=2 is a downward turning point and x=0 is a upward turning point
D. X=2 can not be characterised because f’’(x)=0


I think the answer is x=2 is point of inflection( option A) , what do you all think? Thanks

Originally Posted by firebrend

Which of the following characteristics of x^3 -6x^2 +12x +18 [IMG]file:///C:/Users/Arwin/AppData/Local/Temp/msohtmlclip1/01/clip_image002.gif[/IMG][IMG]file:///C:/Users/Arwin/AppData/Local/Temp/msohtmlclip1/01/clip_image002.gif[/IMG][IMG]file:///C:/Users/Arwin/AppData/Local/Temp/msohtmlclip1/01/clip_image002.gif[/IMG] are true?
A. X=2 is a point of inflection
B. X=2 is an upward turning point and x=0 is a downward turning point
C. X=2 is a downward turning point and x=0 is a upward turning point
D. X=2 can not be characterised because f’’(x)=0


I think the answer is x=2 is point of inflection( option A) , what do you all think? Thanks

How far did you get?

Originally Posted by firebrend

Which of the following characteristics of x^3 -6x^2 +12x +18 [IMG]file:///C:/Users/Arwin/AppData/Local/Temp/msohtmlclip1/01/clip_image002.gif[/IMG][IMG]file:///C:/Users/Arwin/AppData/Local/Temp/msohtmlclip1/01/clip_image002.gif[/IMG][IMG]file:///C:/Users/Arwin/AppData/Local/Temp/msohtmlclip1/01/clip_image002.gif[/IMG] are true?
A. X=2 is a point of inflection
B. X=2 is an upward turning point and x=0 is a downward turning point
C. X=2 is a downward turning point and x=0 is a upward turning point
D. X=2 can not be characterised because f’’(x)=0


I think the answer is x=2 is point of inflection( option A) , what do you all think? Thanks

first of all, you'll need to upload your image as an attachment or place it on an image hosting site with a working link to the image, otherwise, we can't see it.

second ... why do you "think" there is an inflection point at x = 2? by observation, or did you work it out somehow?