f(x)=3^-x tell whether the function is increasing, decreasing or not changing when x=1. if it is increasing or decreasing tell wether the rate of change is slow or fast
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OpenStudy (ksaimouli):
tell wether the rate of change is slow or fast
OpenStudy (ksaimouli):
how to tell
OpenStudy (ksaimouli):
i know it is decreasing
OpenStudy (baldymcgee6):
okay, it would be slow
OpenStudy (ksaimouli):
how
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OpenStudy (baldymcgee6):
but it is a stupid question, slow and fast are general terms
OpenStudy (baldymcgee6):
there is no rule where it "slow" or "fast"
OpenStudy (ksaimouli):
i know but asks in the question
OpenStudy (baldymcgee6):
i would guess "slow", but there is no way to mathematically prove.. But because our slope at x=1 is -0.3662042 it is a generally slight incline
OpenStudy (ksaimouli):
i dont want to prove by just looking at the graph how do u knoww
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OpenStudy (ksaimouli):
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OpenStudy (baldymcgee6):
because the slope is less than 1 i would say it is a slight incline of slope
OpenStudy (ksaimouli):
ohk thx
OpenStudy (ksaimouli):
so x^2+2x-2 at x=1 this one is increasing am i right
OpenStudy (baldymcgee6):
yes it is increasing with a slope of dy/dx=4 at x=1.. I would say it is increasing FAST
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OpenStudy (ksaimouli):
ERUKA!!!!! i got it thx @baldymcgee6 u saved my day