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Mathematics 13 Online
OpenStudy (anonymous):

On what interval(s) is f concave downward? http://www.webassign.net/scalc/4-3-6.gif

OpenStudy (anonymous):

@jim_thompson5910 please read my message

jimthompson5910 (jim_thompson5910):

f(x) is concave downward when f ' (x) is decreasing (so when the tangent slopes on f ' (x) are negative)

OpenStudy (anonymous):

so, (1,2)???

OpenStudy (aum):

It is a continuation of your earlier question where you were asked to identify the points of inflection for the same graph. What were your points of inflection?

jimthompson5910 (jim_thompson5910):

the first piece of the overall answer is (0,1) because the f ' (x) function is decreasing from x = 0 to x = 1.

jimthompson5910 (jim_thompson5910):

The tangent lines on f ' (x) have negative slopes in this interval.

OpenStudy (anonymous):

On what interval(s) is f concave upward?

OpenStudy (anonymous):

2,4,6,8 @aum

jimthompson5910 (jim_thompson5910):

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jimthompson5910 (jim_thompson5910):

|dw:1415326563394:dw|

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