Calculus1
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OpenStudy (anonymous):
http://www.webassign.net/scalc/4-3-6.gif
On what interval(s) is f increasing?
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OpenStudy (freckles):
in other words what intervals is f rising
OpenStudy (freckles):
read the graph from left to right
OpenStudy (freckles):
oh that is f' in the picture?
OpenStudy (anonymous):
yes
OpenStudy (freckles):
f'>0 then f is increasing
f'<0 then f is decreasing
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OpenStudy (freckles):
when f' is above the x-axis, f is increasing
OpenStudy (freckles):
what is the first interval where you notice f' is above the x-axis?
OpenStudy (anonymous):
(2,4)
OpenStudy (freckles):
yes so f is increasing on (2,4) because f'>0 on (2,4)
there is a second interval where f is increasing (or where f'>0)
OpenStudy (freckles):
what other interval falls above the x-axis
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OpenStudy (anonymous):
(6,9)
OpenStudy (freckles):
well assuming this graph actually ends at x=9 yeah
OpenStudy (freckles):
but if that graph actually continuous
then (6,inf)
OpenStudy (freckles):
continues*
OpenStudy (freckles):
i guess i will assume it stop at x=9 and
you would say (2,4) union (6,9)
you can use the symbol for union
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OpenStudy (anonymous):
thanks!
OpenStudy (freckles):
np