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Mathematics 18 Online
OpenStudy (kaleidoscopicsink):

Given f ′(x) = (5 – x)(8 – x), determine the intervals on which f(x) is increasing or decreasing.

OpenStudy (freckles):

first find when f'=0

OpenStudy (freckles):

then test each interval around the numbers that make f'=0

OpenStudy (freckles):

if f'>0 then f is increasing if f'<0 then f is decreasing

OpenStudy (kaleidoscopicsink):

5 and 8?

OpenStudy (freckles):

yep

OpenStudy (freckles):

|dw:1456699703805:dw| you have three intervals to test

OpenStudy (freckles):

choose a number representative from each interval and plug into f'

OpenStudy (kaleidoscopicsink):

What?

OpenStudy (freckles):

choose a number from each interval and plug into f'

OpenStudy (freckles):

I'm not sure how else to say it

OpenStudy (freckles):

|dw:1456699791026:dw|

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